38794003200 has 324 divisors, whose sum is σ = 142088827608. Its totient is φ = 10092134400.

The previous prime is 38794003153. The next prime is 38794003271. The reversal of 38794003200 is 230049783.

It is a super-2 number, since 2×38794003200² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2353387 + ... + 2369813.

Almost surely, 2^38794003200 is an apocalyptic number.

38794003200 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 38794003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71044413804).

38794003200 is an abundant number, since it is smaller than the sum of its proper divisors (103294824408).

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

38794003200 is a wasteful number, since it uses less digits than its factorization.

38794003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16500 (or 16478 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 38794003200 in words is "thirty-eight billion, seven hundred ninety-four million, three thousand, two hundred".