38353862400 has 432 divisors, whose sum is σ = 145783835904. Its totient is φ = 8698429440.

The previous prime is 38353862387. The next prime is 38353862411. The reversal of 38353862400 is 426835383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18411759 + ... + 18413841.

Almost surely, 2^38353862400 is an apocalyptic number.

38353862400 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 38353862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72891917952).

38353862400 is an abundant number, since it is smaller than the sum of its proper divisors (107429973504).

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

38353862400 is a wasteful number, since it uses less digits than its factorization.

38353862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 38353862400 in words is "thirty-eight billion, three hundred fifty-three million, eight hundred sixty-two thousand, four hundred".