38674406400 has 792 divisors, whose sum is σ = 152784149760. Its totient is φ = 8598159360.

The previous prime is 38674406383. The next prime is 38674406431. The reversal of 38674406400 is 460447683.

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 71 ways as a sum of consecutive naturals, for example, 161817481 + ... + 161817719.

It is an arithmetic number, because the mean of its divisors is an integer number (192909280).

Almost surely, 2^38674406400 is an apocalyptic number.

38674406400 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 38674406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76392074880).

38674406400 is an abundant number, since it is smaller than the sum of its proper divisors (114109743360).

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

38674406400 is a wasteful number, since it uses less digits than its factorization.

38674406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 38674406400 in words is "thirty-eight billion, six hundred seventy-four million, four hundred six thousand, four hundred".