38690362939536 has 1920 divisors, whose sum is σ = 148241178624000. Its totient is φ = 9639907200000.

The previous prime is 38690362939523. The next prime is 38690362939589. The reversal of 38690362939536 is 63593926309683.

38690362939536 is a `hidden beast` number, since 3 + 8 + 6 + 9 + 0 + 36 + 29 + 39 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 83927034346 + ... + 83927034806.

It is an arithmetic number, because the mean of its divisors is an integer number (77208947200).

Almost surely, 2^{38690362939536} is an apocalyptic number.

38690362939536 is a gapful number since it is divisible by the number (36) 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 38690362939536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74120589312000).

38690362939536 is an abundant number, since it is smaller than the sum of its proper divisors (109550815684464).

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

38690362939536 is a wasteful number, since it uses less digits than its factorization.

38690362939536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 1020366720, while the sum is 72.

The spelling of 38690362939536 in words is "thirty-eight trillion, six hundred ninety billion, three hundred sixty-two million, nine hundred thirty-nine thousand, five hundred thirty-six".