38668492800000 has 2856 divisors, whose sum is σ = 170111078256672. Its totient is φ = 8599633920000.

The previous prime is 38668492799983. The next prime is 38668492800019. The reversal of 38668492800000 is 829486683.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38668492800000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1045094399982 + ... + 1045094400018.

Almost surely, 2^{38668492800000} is an apocalyptic number.

38668492800000 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 38668492800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85055539128336).

38668492800000 is an abundant number, since it is smaller than the sum of its proper divisors (131442585456672).

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

38668492800000 is an frugal number, since it uses more digits than its factorization.

38668492800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 54 counting only the distinct ones).

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

The spelling of 38668492800000 in words is "thirty-eight trillion, six hundred sixty-eight billion, four hundred ninety-two million, eight hundred thousand".