38502281376 has 288 divisors, whose sum is σ = 120348970560. Its totient is φ = 11604529152.

The previous prime is 38502281333. The next prime is 38502281431. The reversal of 38502281376 is 67318220583.

38502281376 is a `hidden beast` number, since 3 + 8 + 50 + 228 + 1 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48922455 + ... + 48923241.

It is an arithmetic number, because the mean of its divisors is an integer number (417878370).

Almost surely, 2^38502281376 is an apocalyptic number.

38502281376 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 38502281376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60174485280).

38502281376 is an abundant number, since it is smaller than the sum of its proper divisors (81846689184).

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

38502281376 is a wasteful number, since it uses less digits than its factorization.

38502281376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 38502281376 in words is "thirty-eight billion, five hundred two million, two hundred eighty-one thousand, three hundred seventy-six".