38100222720 has 1008 divisors, whose sum is σ = 165144080640. Its totient is φ = 8223399936.

The previous prime is 38100222679. The next prime is 38100222749. The reversal of 38100222720 is 2722200183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 124104807 + ... + 124105113.

Almost surely, 2^38100222720 is an apocalyptic number.

38100222720 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 38100222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82572040320).

38100222720 is an abundant number, since it is smaller than the sum of its proper divisors (127043857920).

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

38100222720 is an equidigital number, since it uses as much as digits as its factorization.

38100222720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 38100222720 in words is "thirty-eight billion, one hundred million, two hundred twenty-two thousand, seven hundred twenty".