3297863264004 has 135 divisors (see below), whose sum is σ = 8678468492463. Its totient is φ = 1092041906688.

The previous prime is 3297863263991. The next prime is 3297863264051. The reversal of 3297863264004 is 4004623687923.

The square root of 3297863264004 is 1816002.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1571267264004 + 1726596000000 = 1253502^2 + 1314000^2 .

It is a super-2 number, since 2×3297863264004² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7616312172 + ... + 7616312604.

Almost surely, 2^{3297863264004} is an apocalyptic number.

3297863264004 is the 1816002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3297863264004

3297863264004 is an abundant number, since it is smaller than the sum of its proper divisors (5380605228459).

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

3297863264004 is an frugal number, since it uses more digits than its factorization.

3297863264004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 3297863264004 in words is "three trillion, two hundred ninety-seven billion, eight hundred sixty-three million, two hundred sixty-four thousand, four".