38668492800 has 1176 divisors, whose sum is σ = 168751977456. Its totient is φ = 8599633920.

The previous prime is 38668492777. The next prime is 38668492817. The reversal of 38668492800 is 829486683.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1045094382 + ... + 1045094418.

Almost surely, 2^38668492800 is an apocalyptic number.

38668492800 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 38668492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84375988728).

38668492800 is an abundant number, since it is smaller than the sum of its proper divisors (130083484656).

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

38668492800 is an frugal number, since it uses more digits than its factorization.

38668492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 38668492800 in words is "thirty-eight billion, six hundred sixty-eight million, four hundred ninety-two thousand, eight hundred".