38696162400 has 720 divisors, whose sum is σ = 164662898400. Its totient is φ = 8839756800.

The previous prime is 38696162387. The next prime is 38696162423. The reversal of 38696162400 is 426169683.

38696162400 is a `hidden beast` number, since 3 + 8 + 6 + 9 + 616 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 22225530 + ... + 22227270.

It is an arithmetic number, because the mean of its divisors is an integer number (228698470).

Almost surely, 2^38696162400 is an apocalyptic number.

38696162400 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 38696162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82331449200).

38696162400 is an abundant number, since it is smaller than the sum of its proper divisors (125966736000).

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

38696162400 is a wasteful number, since it uses less digits than its factorization.

38696162400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 38696162400 in words is "thirty-eight billion, six hundred ninety-six million, one hundred sixty-two thousand, four hundred".