3013723776064 has 21 divisors (see below), whose sum is σ = 5980385677381. Its totient is φ = 1506854944000.

The previous prime is 3013723776023. The next prime is 3013723776067. The reversal of 3013723776064 is 4606773273103.

The square root of 3013723776064 is 1736008.

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., 276684416064 + 2737039360000 = 526008^2 + 1654400^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3013723775999 and 3013723776017.

It is not an unprimeable number, because it can be changed into a prime (3013723776067) 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, 13779564 + ... + 13996564.

Almost surely, 2^{3013723776064} is an apocalyptic number.

3013723776064 is the 1736008-th square number.

It is an amenable number.

3013723776064 is a deficient number, since it is larger than the sum of its proper divisors (2966661901317).

3013723776064 is an frugal number, since it uses more digits than its factorization.

3013723776064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434014 (or 217003 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 49.

Multiplying 3013723776064 by its sum of digits (49), we get a square (147672465027136 = 12152056²).

The spelling of 3013723776064 in words is "three trillion, thirteen billion, seven hundred twenty-three million, seven hundred seventy-six thousand, sixty-four".