38812400640 has 880 divisors, whose sum is σ = 156791815488. Its totient is φ = 9109241856.

The previous prime is 38812400519. The next prime is 38812400687. The reversal of 38812400640 is 4600421883.

38812400640 is a `hidden beast` number, since 3 + 8 + 8 + 1 + 2 + 4 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38812400595 and 38812400604.

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, 124001124 + ... + 124001436.

Almost surely, 2^38812400640 is an apocalyptic number.

38812400640 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 38812400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78395907744).

38812400640 is an abundant number, since it is smaller than the sum of its proper divisors (117979414848).

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

38812400640 is a wasteful number, since it uses less digits than its factorization.

38812400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 38812400640 in words is "thirty-eight billion, eight hundred twelve million, four hundred thousand, six hundred forty".