38383602400 has 288 divisors, whose sum is σ = 115886332800. Its totient is φ = 12205209600.

The previous prime is 38383602391. The next prime is 38383602479. The reversal of 38383602400 is 420638383.

It is a self number, because there is not a number n which added to its sum of digits gives 38383602400.

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, 2164771 + ... + 2182429.

It is an arithmetic number, because the mean of its divisors is an integer number (402383100).

Almost surely, 2^38383602400 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 38383602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57943166400).

38383602400 is an abundant number, since it is smaller than the sum of its proper divisors (77502730400).

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

38383602400 is a wasteful number, since it uses less digits than its factorization.

38383602400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17722 (or 17709 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 38383602400 in words is "thirty-eight billion, three hundred eighty-three million, six hundred two thousand, four hundred".