38348486816640 has 512 divisors, whose sum is σ = 164120804951040. Its totient is φ = 7355553546240.

The previous prime is 38348486816639. The next prime is 38348486816711. The reversal of 38348486816640 is 4661868484383.

It is a super-2 number, since 2×38348486816640² (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 63 ways as a sum of consecutive naturals, for example, 8054689 + ... + 11898528.

It is an arithmetic number, because the mean of its divisors is an integer number (320548447170).

Almost surely, 2^{38348486816640} is an apocalyptic number.

38348486816640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38348486816640 is an abundant number, since it is smaller than the sum of its proper divisors (125772318134400).

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

38348486816640 is a wasteful number, since it uses less digits than its factorization.

38348486816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19953270 (or 19953258 counting only the distinct ones).

The product of its (nonzero) digits is 509607936, while the sum is 69.

The spelling of 38348486816640 in words is "thirty-eight trillion, three hundred forty-eight billion, four hundred eighty-six million, eight hundred sixteen thousand, six hundred forty".