3684311335936 has 891 divisors, whose sum is σ = 10187194368141. Its totient is φ = 1326727987200.

The previous prime is 3684311335931. The next prime is 3684311335937. The reversal of 3684311335936 is 6395331134863.

The square root of 3684311335936 is 1919456.

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., 177530766336 + 3506780569600 = 421344^2 + 1872640^2 .

Its product of digits (12597120) is a multiple of the sum of its prime divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3684311335931) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 89861252076 + ... + 89861252116.

Almost surely, 2^{3684311335936} is an apocalyptic number.

3684311335936 is the 1919456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3684311335936

3684311335936 is an abundant number, since it is smaller than the sum of its proper divisors (6502883032205).

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

3684311335936 is a wasteful number, since it uses less digits than its factorization.

3684311335936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 80 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 55.

The spelling of 3684311335936 in words is "three trillion, six hundred eighty-four billion, three hundred eleven million, three hundred thirty-five thousand, nine hundred thirty-six".