3625346304 has 54 divisors (see below), whose sum is σ = 10452773786. Its totient is φ = 1208448000.

The previous prime is 3625346251. The next prime is 3625346317. The reversal of 3625346304 is 4036435263.

3625346304 is a `hidden beast` number, since 3 + 6 + 2 + 5 + 346 + 304 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3047040000 + 578306304 = 55200^2 + 24048^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 784447 + ... + 789054.

Almost surely, 2^3625346304 is an apocalyptic number.

It is an amenable number.

3625346304 is an abundant number, since it is smaller than the sum of its proper divisors (6827427482).

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

3625346304 is a wasteful number, since it uses less digits than its factorization.

3625346304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573523 (or 1573506 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The square root of 3625346304 is about 60210.8487234651. The cubic root of 3625346304 is about 1536.2073287844.

The spelling of 3625346304 in words is "three billion, six hundred twenty-five million, three hundred forty-six thousand, three hundred four".