3375825600 has 504 divisors, whose sum is σ = 13328099328. Its totient is φ = 745113600.

The previous prime is 3375825587. The next prime is 3375825637. The reversal of 3375825600 is 65285733.

It is a super-2 number, since 2×3375825600² = 22792396963230720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7290969 + ... + 7291431.

Almost surely, 2^3375825600 is an apocalyptic number.

3375825600 is a gapful number since it is divisible by the number (30) 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 3375825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664049664).

3375825600 is an abundant number, since it is smaller than the sum of its proper divisors (9952273728).

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

3375825600 is a wasteful number, since it uses less digits than its factorization.

3375825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 3375825600 is about 58101.8553920613. The cubic root of 3375825600 is about 1500.1223011391.

The spelling of 3375825600 in words is "three billion, three hundred seventy-five million, eight hundred twenty-five thousand, six hundred".