3411674640 has 400 divisors, whose sum is σ = 13494957696. Its totient is φ = 790732800.

The previous prime is 3411674633. The next prime is 3411674641. The reversal of 3411674640 is 464761143.

3411674640 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 6 + 7 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3411674595 and 3411674604.

It is not an unprimeable number, because it can be changed into a prime (3411674641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1638400 + ... + 1640480.

Almost surely, 2^3411674640 is an apocalyptic number.

3411674640 is a gapful number since it is divisible by the number (30) 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 3411674640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6747478848).

3411674640 is an abundant number, since it is smaller than the sum of its proper divisors (10083283056).

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

3411674640 is a wasteful number, since it uses less digits than its factorization.

3411674640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3411674640 is about 58409.5423710886. The cubic root of 3411674640 is about 1505.4137176016.

The spelling of 3411674640 in words is "three billion, four hundred eleven million, six hundred seventy-four thousand, six hundred forty".