3264013128964 has 81 divisors (see below), whose sum is σ = 7059378526389. Its totient is φ = 1316403285120.

The previous prime is 3264013128953. The next prime is 3264013128979. The reversal of 3264013128964 is 4698213104623.

The square root of 3264013128964 is 1806658.

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., 2541186692100 + 722826436864 = 1594110^2 + 850192^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 429980809 + ... + 429988399.

Almost surely, 2^{3264013128964} is an apocalyptic number.

3264013128964 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3264013128964 is the 1806658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3264013128964

3264013128964 is an abundant number, since it is smaller than the sum of its proper divisors (3795365397425).

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

3264013128964 is an frugal number, since it uses more digits than its factorization.

3264013128964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15234 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

Multiplying 3264013128964 by its sum of digits (49), we get a square (159936643319236 = 12646606²).

3264013128964 divided by its sum of digits (49) gives a square (66612512836 = 258094²).

The spelling of 3264013128964 in words is "three trillion, two hundred sixty-four billion, thirteen million, one hundred twenty-eight thousand, nine hundred sixty-four".