38787949200 has 960 divisors, whose sum is σ = 170489088000. Its totient is φ = 7428556800.

The previous prime is 38787949129. The next prime is 38787949219. The reversal of 38787949200 is 294978783.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58858471 + ... + 58859129.

It is an arithmetic number, because the mean of its divisors is an integer number (177592800).

Almost surely, 2^38787949200 is an apocalyptic number.

38787949200 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 38787949200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85244544000).

38787949200 is an abundant number, since it is smaller than the sum of its proper divisors (131701138800).

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

38787949200 is a wasteful number, since it uses less digits than its factorization.

38787949200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 38787949200 in words is "thirty-eight billion, seven hundred eighty-seven million, nine hundred forty-nine thousand, two hundred".