38479147200 has 1008 divisors, whose sum is σ = 159861601536. Its totient is φ = 9032601600.

The previous prime is 38479147181. The next prime is 38479147219. The reversal of 38479147200 is 274197483.

38479147200 is a `hidden beast` number, since 38 + 479 + 147 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38479147181) and next prime (38479147219).

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 143 ways as a sum of consecutive naturals, for example, 116251035 + ... + 116251365.

Almost surely, 2^38479147200 is an apocalyptic number.

38479147200 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 38479147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79930800768).

38479147200 is an abundant number, since it is smaller than the sum of its proper divisors (121382454336).

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

38479147200 is a wasteful number, since it uses less digits than its factorization.

38479147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 38479147200 in words is "thirty-eight billion, four hundred seventy-nine million, one hundred forty-seven thousand, two hundred".