3360292272100 has 243 divisors, whose sum is σ = 7969834757521. Its totient is φ = 1229503539200.

The previous prime is 3360292272097. The next prime is 3360292272137. The reversal of 3360292272100 is 12722920633.

The square root of 3360292272100 is 1833110.

It is a perfect power (a square), and thus also a powerful number.

3360292272100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 2909815049124 + 450477222976 = 1705818^2 + 671176^2 .

It is a super-2 number, since 2×3360292272100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3360292272100.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12776776569 + ... + 12776776831.

Almost surely, 2^{3360292272100} is an apocalyptic number.

3360292272100 is the 1833110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3360292272100

3360292272100 is an abundant number, since it is smaller than the sum of its proper divisors (4609542485421).

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

3360292272100 is a wasteful number, since it uses less digits than its factorization.

3360292272100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 3360292272100 in words is "three trillion, three hundred sixty billion, two hundred ninety-two million, two hundred seventy-two thousand, one hundred".