3360125600 has 216 divisors, whose sum is σ = 9199450260. Its totient is φ = 1196482560.

The previous prime is 3360125569. The next prime is 3360125611. The reversal of 3360125600 is 65210633.

It can be written as a sum of positive squares in 18 ways, for example, as 229946896 + 3130178704 = 15164^2 + 55948^2 .

It is a super-2 number, since 2×3360125600² = 22580888095550720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3360125600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3920372 + ... + 3921228.

Almost surely, 2^3360125600 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 3360125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599725130).

3360125600 is an abundant number, since it is smaller than the sum of its proper divisors (5839324660).

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

3360125600 is a wasteful number, since it uses less digits than its factorization.

3360125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 3360125600 is about 57966.5903775615. The cubic root of 3360125600 is about 1497.7931399566.

The spelling of 3360125600 in words is "three billion, three hundred sixty million, one hundred twenty-five thousand, six hundred".