38396397600 has 1080 divisors, whose sum is σ = 158405330160. Its totient is φ = 9040204800.

The previous prime is 38396397581. The next prime is 38396397617. The reversal of 38396397600 is 679369383.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-3 number, since 3×38396397600³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 462607159 + ... + 462607241.

It is an arithmetic number, because the mean of its divisors is an integer number (146671602).

Almost surely, 2^38396397600 is an apocalyptic number.

38396397600 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 38396397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79202665080).

38396397600 is an abundant number, since it is smaller than the sum of its proper divisors (120008932560).

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

38396397600 is a wasteful number, since it uses less digits than its factorization.

38396397600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 38396397600 in words is "thirty-eight billion, three hundred ninety-six million, three hundred ninety-seven thousand, six hundred".