3864314597796 has 243 divisors, whose sum is σ = 10257306963267. Its totient is φ = 1226650464000.

The previous prime is 3864314597651. The next prime is 3864314597839. The reversal of 3864314597796 is 6977954134683.

The square root of 3864314597796 is 1965786.

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

3864314597796 is a `hidden beast` number, since 3 + 86 + 4 + 3 + 1 + 459 + 7 + 7 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3270983319396 + 593331278400 = 1808586^2 + 770280^2 .

It is a super-2 number, since 2×3864314597796² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29498584651 + ... + 29498584781.

Almost surely, 2^{3864314597796} is an apocalyptic number.

3864314597796 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3864314597796 is the 1965786-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3864314597796

3864314597796 is an abundant number, since it is smaller than the sum of its proper divisors (6392992365471).

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

3864314597796 is a wasteful number, since it uses less digits than its factorization.

3864314597796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 238 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 3864314597796 in words is "three trillion, eight hundred sixty-four billion, three hundred fourteen million, five hundred ninety-seven thousand, seven hundred ninety-six".