3688536892020 has 48 divisors (see below), whose sum is σ = 10335011527680. Its totient is φ = 982932863616.

The previous prime is 3688536891997. The next prime is 3688536892043. The reversal of 3688536892020 is 202986358863.

It is an interprime number because it is at equal distance from previous prime (3688536891997) and next prime (3688536892043).

It is a super-2 number, since 2×3688536892020² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21067540 + ... + 21241899.

It is an arithmetic number, because the mean of its divisors is an integer number (215312740160).

Almost surely, 2^{3688536892020} is an apocalyptic number.

3688536892020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3688536892020 is an abundant number, since it is smaller than the sum of its proper divisors (6646474635660).

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

3688536892020 is a wasteful number, since it uses less digits than its factorization.

3688536892020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42310904 (or 42310902 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 3688536892020 in words is "three trillion, six hundred eighty-eight billion, five hundred thirty-six million, eight hundred ninety-two thousand, twenty".