3687967584 has 480 divisors, whose sum is σ = 13201816320. Its totient is φ = 987614208.

The previous prime is 3687967579. The next prime is 3687967601. The reversal of 3687967584 is 4857697863.

It is a super-2 number, since 2×3687967584² = 27202209801269594112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22625487 + ... + 22625649.

It is an arithmetic number, because the mean of its divisors is an integer number (27503784).

Almost surely, 2^3687967584 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 3687967584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6600908160).

3687967584 is an abundant number, since it is smaller than the sum of its proper divisors (9513848736).

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

3687967584 is a wasteful number, since it uses less digits than its factorization.

3687967584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 247 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The square root of 3687967584 is about 60728.6389111431. The cubic root of 3687967584 is about 1545.0019492859.

The spelling of 3687967584 in words is "three billion, six hundred eighty-seven million, nine hundred sixty-seven thousand, five hundred eighty-four".