3362015616400 has 225 divisors, whose sum is σ = 9427927895393. Its totient is φ = 1152074985600.

The previous prime is 3362015616383. The next prime is 3362015616413. The reversal of 3362015616400 is 46165102633.

The square root of 3362015616400 is 1833580.

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

It can be written as a sum of positive squares in only one way, i.e., 1210325621904 + 2151689994496 = 1100148^2 + 1466864^2 .

It is a super-2 number, since 2×3362015616400² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3362015616400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1796907465 + ... + 1796909335.

Almost surely, 2^{3362015616400} is an apocalyptic number.

3362015616400 is the 1833580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3362015616400

3362015616400 is an abundant number, since it is smaller than the sum of its proper divisors (6065912278993).

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

3362015616400 is an frugal number, since it uses more digits than its factorization.

3362015616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 3362015616400 in words is "three trillion, three hundred sixty-two billion, fifteen million, six hundred sixteen thousand, four hundred".