38475338400 has 864 divisors, whose sum is σ = 152675228160. Its totient is φ = 9067069440.

The previous prime is 38475338359. The next prime is 38475338411. The reversal of 38475338400 is 483357483.

38475338400 is a `hidden beast` number, since 38 + 4 + 7 + 533 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 222400714 + ... + 222400886.

It is an arithmetic number, because the mean of its divisors is an integer number (176707440).

Almost surely, 2^38475338400 is an apocalyptic number.

38475338400 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 38475338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76337614080).

38475338400 is an abundant number, since it is smaller than the sum of its proper divisors (114199889760).

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

38475338400 is a wasteful number, since it uses less digits than its factorization.

38475338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 38475338400 in words is "thirty-eight billion, four hundred seventy-five million, three hundred thirty-eight thousand, four hundred".