3361640832 has 128 divisors (see below), whose sum is σ = 10823587200. Its totient is φ = 1018667520.

The previous prime is 3361640801. The next prime is 3361640833. The reversal of 3361640832 is 2380461633.

3361640832 is a `hidden beast` number, since 3 + 3 + 6 + 1 + 640 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3361640832² = 22601258166739304448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3361640833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6198 + ... + 82229.

It is an arithmetic number, because the mean of its divisors is an integer number (84559275).

Almost surely, 2^3361640832 is an apocalyptic number.

3361640832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3361640832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5411793600).

3361640832 is an abundant number, since it is smaller than the sum of its proper divisors (7461946368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3361640832 is a wasteful number, since it uses less digits than its factorization.

3361640832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88461 (or 88443 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3361640832 is about 57979.6587778852. The cubic root of 3361640832 is about 1498.0182469229.

The spelling of 3361640832 in words is "three billion, three hundred sixty-one million, six hundred forty thousand, eight hundred thirty-two".