38835014400 has 1296 divisors, whose sum is σ = 177135329280. Its totient is φ = 7896268800.

The previous prime is 38835014377. The next prime is 38835014417. The reversal of 38835014400 is 441053883.

38835014400 is a `hidden beast` number, since 38 + 83 + 501 + 4 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162489481 + ... + 162489719.

Almost surely, 2^38835014400 is an apocalyptic number.

38835014400 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 38835014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88567664640).

38835014400 is an abundant number, since it is smaller than the sum of its proper divisors (138300314880).

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

38835014400 is a wasteful number, since it uses less digits than its factorization.

38835014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 38835014400 in words is "thirty-eight billion, eight hundred thirty-five million, fourteen thousand, four hundred".