3625016832 has 120 divisors (see below), whose sum is σ = 10660159224. Its totient is φ = 1185460224.

The previous prime is 3625016807. The next prime is 3625016851. The reversal of 3625016832 is 2386105263.

It is a happy number.

3625016832 is a `hidden beast` number, since 3 + 62 + 501 + 68 + 32 = 666.

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 11 ways as a sum of consecutive naturals, for example, 236803 + ... + 251645.

Almost surely, 2^3625016832 is an apocalyptic number.

3625016832 is a gapful number since it is divisible by the number (32) 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 3625016832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330079612).

3625016832 is an abundant number, since it is smaller than the sum of its proper divisors (7035142392).

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

3625016832 is a wasteful number, since it uses less digits than its factorization.

3625016832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14920 (or 14901 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3625016832 is about 60208.1126759509. The cubic root of 3625016832 is about 1536.1607904593.

The spelling of 3625016832 in words is "three billion, six hundred twenty-five million, sixteen thousand, eight hundred thirty-two".