38353532152896 has 448 divisors, whose sum is σ = 115801348239360. Its totient is φ = 12443452139520.

The previous prime is 38353532152877. The next prime is 38353532152907. The reversal of 38353532152896 is 69825123535383.

It is a happy number.

38353532152896 is a `hidden beast` number, since 3 + 8 + 3 + 5 + 3 + 532 + 1 + 5 + 2 + 8 + 96 = 666.

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, 16094640921 + ... + 16094643303.

It is an arithmetic number, because the mean of its divisors is an integer number (258485152320).

Almost surely, 2^{38353532152896} is an apocalyptic number.

38353532152896 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 38353532152896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57900674119680).

38353532152896 is an abundant number, since it is smaller than the sum of its proper divisors (77447816086464).

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

38353532152896 is a wasteful number, since it uses less digits than its factorization.

38353532152896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999 (or 3983 counting only the distinct ones).

The product of its digits is 139968000, while the sum is 63.

The spelling of 38353532152896 in words is "thirty-eight trillion, three hundred fifty-three billion, five hundred thirty-two million, one hundred fifty-two thousand, eight hundred ninety-six".