3420931379776 has 21 divisors (see below), whose sum is σ = 6788440068889. Its totient is φ = 1710458291584.

The previous prime is 3420931379771. The next prime is 3420931379777. The reversal of 3420931379776 is 6779731390243.

The square root of 3420931379776 is 1849576.

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., 2788232040000 + 632699339776 = 1669800^2 + 795424^2 .

It is a super-2 number, since 2×3420931379776² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3420931379771) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14681010 + ... + 14912206.

Almost surely, 2^{3420931379776} is an apocalyptic number.

3420931379776 is the 1849576-th square number.

It is an amenable number.

3420931379776 is a deficient number, since it is larger than the sum of its proper divisors (3367508689113).

3420931379776 is an frugal number, since it uses more digits than its factorization.

3420931379776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462406 (or 231199 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 61.

The spelling of 3420931379776 in words is "three trillion, four hundred twenty billion, nine hundred thirty-one million, three hundred seventy-nine thousand, seven hundred seventy-six".