38876620434960 has 1920 divisors, whose sum is σ = 160805707776000. Its totient is φ = 7752161894400.

The previous prime is 38876620434937. The next prime is 38876620434997. The reversal of 38876620434960 is 6943402667883.

It is a super-2 number, since 2×38876620434960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 38876620434891 and 38876620434900.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42303177381 + ... + 42303178299.

It is an arithmetic number, because the mean of its divisors is an integer number (83752972800).

Almost surely, 2^{38876620434960} is an apocalyptic number.

38876620434960 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 38876620434960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80402853888000).

38876620434960 is an abundant number, since it is smaller than the sum of its proper divisors (121929087341040).

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

38876620434960 is a wasteful number, since it uses less digits than its factorization.

38876620434960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 66.

The spelling of 38876620434960 in words is "thirty-eight trillion, eight hundred seventy-six billion, six hundred twenty million, four hundred thirty-four thousand, nine hundred sixty".