38880668736000 has 3840 divisors, whose sum is σ = 181441658990592. Its totient is φ = 8080072704000.

The previous prime is 38880668735981. The next prime is 38880668736053. The reversal of 38880668736000 is 63786608883.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 117464255835 + ... + 117464256165.

Almost surely, 2^{38880668736000} is an apocalyptic number.

38880668736000 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 38880668736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720829495296).

38880668736000 is an abundant number, since it is smaller than the sum of its proper divisors (142560990254592).

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

38880668736000 is an equidigital number, since it uses as much as digits as its factorization.

38880668736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 38880668736000 in words is "thirty-eight trillion, eight hundred eighty billion, six hundred sixty-eight million, seven hundred thirty-six thousand".