3676963584 has 144 divisors (see below), whose sum is σ = 11249521920. Its totient is φ = 1044418560.

The previous prime is 3676963567. The next prime is 3676963607. The reversal of 3676963584 is 4853696763.

It is a super-2 number, since 2×3676963584² = 27040122396124250112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 960394 + ... + 964214.

It is an arithmetic number, because the mean of its divisors is an integer number (78121680).

Almost surely, 2^3676963584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3676963584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624760960).

3676963584 is an abundant number, since it is smaller than the sum of its proper divisors (7572558336).

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

3676963584 is a wasteful number, since it uses less digits than its factorization.

3676963584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4012 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 57.

The square root of 3676963584 is about 60637.9714700286. The cubic root of 3676963584 is about 1543.4637815101.

The spelling of 3676963584 in words is "three billion, six hundred seventy-six million, nine hundred sixty-three thousand, five hundred eighty-four".