3604294656 has 132 divisors (see below), whose sum is σ = 10511132112. Its totient is φ = 1189453824.

The previous prime is 3604294643. The next prime is 3604294663. The reversal of 3604294656 is 6564924063.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 947350 + ... + 951146.

Almost surely, 2^3604294656 is an apocalyptic number.

3604294656 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 3604294656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255566056).

3604294656 is an abundant number, since it is smaller than the sum of its proper divisors (6906837456).

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

3604294656 is a wasteful number, since it uses less digits than its factorization.

3604294656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 3604294656 is about 60035.7781327102. The cubic root of 3604294656 is about 1533.2280735977.

It can be divided in two parts, 360429 and 4656, that added together give a triangular number (365085 = T₈₅₄).

The spelling of 3604294656 in words is "three billion, six hundred four million, two hundred ninety-four thousand, six hundred fifty-six".