3623414256 has 160 divisors (see below), whose sum is σ = 12967027200. Its totient is φ = 941137920.

The previous prime is 3623414233. The next prime is 3623414257. The reversal of 3623414256 is 6524143263.

3623414256 is a `hidden beast` number, since 3 + 62 + 341 + 4 + 256 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3623414256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3623414257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21201 + ... + 87728.

It is an arithmetic number, because the mean of its divisors is an integer number (81043920).

Almost surely, 2^3623414256 is an apocalyptic number.

3623414256 is a gapful number since it is divisible by the number (36) 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 3623414256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483513600).

3623414256 is an abundant number, since it is smaller than the sum of its proper divisors (9343612944).

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

3623414256 is a wasteful number, since it uses less digits than its factorization.

3623414256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108964 (or 108952 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 3623414256 is about 60194.8025663346. The cubic root of 3623414256 is about 1535.9343844041.

The spelling of 3623414256 in words is "three billion, six hundred twenty-three million, four hundred fourteen thousand, two hundred fifty-six".