3387625600 has 96 divisors (see below), whose sum is σ = 8385149700. Its totient is φ = 1352355840.

The previous prime is 3387625583. The next prime is 3387625609. The reversal of 3387625600 is 65267833.

It can be written as a sum of positive squares in 6 ways, for example, as 1612183104 + 1775442496 = 40152^2 + 42136^2 .

It is a super-2 number, since 2×3387625600² = 22952014411550720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3387625609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2652162 + ... + 2653438.

Almost surely, 2^3387625600 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 3387625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192574850).

3387625600 is an abundant number, since it is smaller than the sum of its proper divisors (4997524100).

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

3387625600 is a wasteful number, since it uses less digits than its factorization.

3387625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 3387625600 is about 58203.3126205030. The cubic root of 3387625600 is about 1501.8681316827.

The spelling of 3387625600 in words is "three billion, three hundred eighty-seven million, six hundred twenty-five thousand, six hundred".