38990317029840 has 1200 divisors, whose sum is σ = 150867391618944. Its totient is φ = 9324774328320.

The previous prime is 38990317029827. The next prime is 38990317029863. The reversal of 38990317029840 is 4892071309983.

38990317029840 is a `hidden beast` number, since 389 + 9 + 0 + 3 + 170 + 2 + 9 + 84 + 0 = 666.

It is a super-2 number, since 2×38990317029840² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 25600995319 + ... + 25600996841.

Almost surely, 2^{38990317029840} is an apocalyptic number.

38990317029840 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 38990317029840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75433695809472).

38990317029840 is an abundant number, since it is smaller than the sum of its proper divisors (111877074589104).

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

38990317029840 is a wasteful number, since it uses less digits than its factorization.

38990317029840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 38990317029840 in words is "thirty-eight trillion, nine hundred ninety billion, three hundred seventeen million, twenty-nine thousand, eight hundred forty".