38091772800 has 480 divisors, whose sum is σ = 141524479800. Its totient is φ = 10088755200.

The previous prime is 38091772787. The next prime is 38091772837. The reversal of 38091772800 is 827719083.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46396390 + ... + 46397210.

Almost surely, 2^38091772800 is an apocalyptic number.

38091772800 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 38091772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70762239900).

38091772800 is an abundant number, since it is smaller than the sum of its proper divisors (103432707000).

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

38091772800 is a wasteful number, since it uses less digits than its factorization.

38091772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 38091772800 in words is "thirty-eight billion, ninety-one million, seven hundred seventy-two thousand, eight hundred".