3641136256 has 64 divisors (see below), whose sum is σ = 7774015680. Its totient is φ = 1694297088.

The previous prime is 3641136253. The next prime is 3641136271. The reversal of 3641136256 is 6526311463.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (3641136251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92215 + ... + 125641.

It is an arithmetic number, because the mean of its divisors is an integer number (121468995).

Almost surely, 2^3641136256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3641136256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887007840).

3641136256 is an abundant number, since it is smaller than the sum of its proper divisors (4132879424).

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

3641136256 is a wasteful number, since it uses less digits than its factorization.

3641136256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33501 (or 33489 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 3641136256 is about 60341.8284111445. The cubic root of 3641136256 is about 1538.4343812150.

The spelling of 3641136256 in words is "three billion, six hundred forty-one million, one hundred thirty-six thousand, two hundred fifty-six".