38049587896320 has 6272 divisors, whose sum is σ = 196382606837760. Its totient is φ = 6810910064640.

The previous prime is 38049587896303. The next prime is 38049587896343. The reversal of 38049587896320 is 2369878594083.

38049587896320 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 9 + 587 + 8 + 9 + 6 + 32 + 0 = 666.

It is a super-6 number, since 6×38049587896320⁶ (a number of 83 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 567904296927 + ... + 567904296993.

Almost surely, 2^{38049587896320} is an apocalyptic number.

38049587896320 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 38049587896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98191303418880).

38049587896320 is an abundant number, since it is smaller than the sum of its proper divisors (158333018941440).

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

38049587896320 is a wasteful number, since it uses less digits than its factorization.

38049587896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 38049587896320 in words is "thirty-eight trillion, forty-nine billion, five hundred eighty-seven million, eight hundred ninety-six thousand, three hundred twenty".