38876129040 has 320 divisors, whose sum is σ = 152177688576. Its totient is φ = 7999512576.

The previous prime is 38876128999. The next prime is 38876129077. The reversal of 38876129040 is 4092167883.

It is a super-2 number, since 2×38876129040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627289 + ... + 686471.

Almost surely, 2^38876129040 is an apocalyptic number.

38876129040 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 38876129040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76088844288).

38876129040 is an abundant number, since it is smaller than the sum of its proper divisors (113301559536).

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

38876129040 is a wasteful number, since it uses less digits than its factorization.

38876129040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59246 (or 59240 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 38876129040 in words is "thirty-eight billion, eight hundred seventy-six million, one hundred twenty-nine thousand, forty".