3370225600 has 168 divisors, whose sum is σ = 9634878368. Its totient is φ = 1136332800.

The previous prime is 3370225559. The next prime is 3370225601. The reversal of 3370225600 is 65220733.

It is a super-2 number, since 2×3370225600² = 22716841189790720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3370225601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 680734 + ... + 685666.

Almost surely, 2^3370225600 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 3370225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4817439184).

3370225600 is an abundant number, since it is smaller than the sum of its proper divisors (6264652768).

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

3370225600 is a wasteful number, since it uses less digits than its factorization.

3370225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 3370225600 is about 58053.6441577960. The cubic root of 3370225600 is about 1499.2923476861.

The spelling of 3370225600 in words is "three billion, three hundred seventy million, two hundred twenty-five thousand, six hundred".