38220787200 has 240 divisors, whose sum is σ = 133689322800. Its totient is φ = 9592504320.

The previous prime is 38220787169. The next prime is 38220787261. The reversal of 38220787200 is 278702283.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623526 + ... + 682074.

It is an arithmetic number, because the mean of its divisors is an integer number (557038845).

Almost surely, 2^38220787200 is an apocalyptic number.

38220787200 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 38220787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66844661400).

38220787200 is an abundant number, since it is smaller than the sum of its proper divisors (95468535600).

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

38220787200 is a wasteful number, since it uses less digits than its factorization.

38220787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58597 (or 58576 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 38220787200 in words is "thirty-eight billion, two hundred twenty million, seven hundred eighty-seven thousand, two hundred".