38075606016000 has 1344 divisors, whose sum is σ = 155164163656320. Its totient is φ = 8244323942400.

The previous prime is 38075606015969. The next prime is 38075606016061. The reversal of 38075606016000 is 61060657083.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2860025344 + ... + 2860038656.

It is an arithmetic number, because the mean of its divisors is an integer number (115449526530).

Almost surely, 2^{38075606016000} is an apocalyptic number.

38075606016000 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 38075606016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77582081828160).

38075606016000 is an abundant number, since it is smaller than the sum of its proper divisors (117088557640320).

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

38075606016000 is a wasteful number, since it uses less digits than its factorization.

38075606016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13390 (or 13349 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 38075606016000 in words is "thirty-eight trillion, seventy-five billion, six hundred six million, sixteen thousand".