38154009600 has 792 divisors, whose sum is σ = 160210141728. Its totient is φ = 8493465600.

The previous prime is 38154009599. The next prime is 38154009631. The reversal of 38154009600 is 690045183.

38154009600 is a `hidden beast` number, since 3 + 8 + 1 + 5 + 40 + 0 + 9 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66124512 + ... + 66125088.

Almost surely, 2^38154009600 is an apocalyptic number.

38154009600 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 38154009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80105070864).

38154009600 is an abundant number, since it is smaller than the sum of its proper divisors (122056132128).

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

38154009600 is a wasteful number, since it uses less digits than its factorization.

38154009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 38154009600 in words is "thirty-eight billion, one hundred fifty-four million, nine thousand, six hundred".