3332260400704 has 21 divisors (see below), whose sum is σ = 6612483211761. Its totient is φ = 1666122898560.

The previous prime is 3332260400627. The next prime is 3332260400723. The reversal of 3332260400704 is 4070040622333.

The square root of 3332260400704 is 1825448.

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., 2719359306304 + 612901094400 = 1649048^2 + 782880^2 .

It is a super-2 number, since 2×3332260400704² (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 3332260400704.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14489494 + ... + 14717674.

It is an arithmetic number, because the mean of its divisors is an integer number (314880152941).

Almost surely, 2^{3332260400704} is an apocalyptic number.

3332260400704 is the 1825448-th square number.

It is an amenable number.

3332260400704 is a deficient number, since it is larger than the sum of its proper divisors (3280222811057).

3332260400704 is an frugal number, since it uses more digits than its factorization.

3332260400704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456374 (or 228183 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 34.

The spelling of 3332260400704 in words is "three trillion, three hundred thirty-two billion, two hundred sixty million, four hundred thousand, seven hundred four".