38022637680 has 480 divisors, whose sum is σ = 139130095104. Its totient is φ = 9632037888.

The previous prime is 38022637649. The next prime is 38022637693. The reversal of 38022637680 is 8673622083.

38022637680 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 2 + 637 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×38022637680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123852087 + ... + 123852393.

Almost surely, 2^38022637680 is an apocalyptic number.

38022637680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38022637680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69565047552).

38022637680 is an abundant number, since it is smaller than the sum of its proper divisors (101107457424).

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

38022637680 is a wasteful number, since it uses less digits than its factorization.

38022637680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 38022637680 in words is "thirty-eight billion, twenty-two million, six hundred thirty-seven thousand, six hundred eighty".