38954836800 has 756 divisors, whose sum is σ = 154656698560. Its totient is φ = 9291110400.

The previous prime is 38954836769. The next prime is 38954836859. The reversal of 38954836800 is 863845983.

It is a happy number.

38954836800 is a `hidden beast` number, since 3 + 89 + 5 + 483 + 6 + 80 + 0 = 666.

It is a super-2 number, since 2×38954836800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 137649459 + ... + 137649741.

Almost surely, 2^38954836800 is an apocalyptic number.

38954836800 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 38954836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77328349280).

38954836800 is an abundant number, since it is smaller than the sum of its proper divisors (115701861760).

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

38954836800 is a wasteful number, since it uses less digits than its factorization.

38954836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 38954836800 in words is "thirty-eight billion, nine hundred fifty-four million, eight hundred thirty-six thousand, eight hundred".