38070422208000 has 5760 divisors, whose sum is σ = 186482944327680. Its totient is φ = 7374186086400.

The previous prime is 38070422207989. The next prime is 38070422208059. The reversal of 38070422208000 is 80222407083.

38070422208000 is a `hidden beast` number, since 380 + 70 + 4 + 2 + 2 + 208 + 0 + 0 + 0 = 666.

38070422208000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 299767103937 + ... + 299767104063.

It is an arithmetic number, because the mean of its divisors is an integer number (32375511168).

Almost surely, 2^{38070422208000} is an apocalyptic number.

38070422208000 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 38070422208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93241472163840).

38070422208000 is an abundant number, since it is smaller than the sum of its proper divisors (148412522119680).

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

38070422208000 is a wasteful number, since it uses less digits than its factorization.

38070422208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 38070422208000 in words is "thirty-eight trillion, seventy billion, four hundred twenty-two million, two hundred eight thousand".