38088296000 has 112 divisors (see below), whose sum is σ = 99874590192. Its totient is φ = 14339072000.

The previous prime is 38088295997. The next prime is 38088296003. The reversal of 38088296000 is 69288083.

It is an interprime number because it is at equal distance from previous prime (38088295997) and next prime (38088296003).

It can be written as a sum of positive squares in 8 ways, for example, as 4786425856 + 33301870144 = 69184^2 + 182488^2 .

It is not an unprimeable number, because it can be changed into a prime (38088296003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4031 + ... + 276030.

Almost surely, 2^38088296000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38088296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49937295096).

38088296000 is an abundant number, since it is smaller than the sum of its proper divisors (61786294192).

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

38088296000 is a wasteful number, since it uses less digits than its factorization.

38088296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280105 (or 280085 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 38088296000 in words is "thirty-eight billion, eighty-eight million, two hundred ninety-six thousand".