38380583195136 has 2880 divisors, whose sum is σ = 148974443025408. Its totient is φ = 9414879215616.

The previous prime is 38380583195111. The next prime is 38380583195147. The reversal of 38380583195136 is 63159138508383.

It is a happy number.

38380583195136 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 0 + 583 + 19 + 5 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 372627021261 + ... + 372627021363.

Almost surely, 2^{38380583195136} is an apocalyptic number.

38380583195136 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 38380583195136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74487221512704).

38380583195136 is an abundant number, since it is smaller than the sum of its proper divisors (110593859830272).

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

38380583195136 is a wasteful number, since it uses less digits than its factorization.

38380583195136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 38380583195136 in words is "thirty-eight trillion, three hundred eighty billion, five hundred eighty-three million, one hundred ninety-five thousand, one hundred thirty-six".