38268847200 has 144 divisors (see below), whose sum is σ = 124992531216. Its totient is φ = 10170009600.

The previous prime is 38268847189. The next prime is 38268847219. The reversal of 38268847200 is 274886283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38268847200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675990 + ... + 730410.

It is an arithmetic number, because the mean of its divisors is an integer number (868003689).

Almost surely, 2^38268847200 is an apocalyptic number.

38268847200 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 38268847200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496265608).

38268847200 is an abundant number, since it is smaller than the sum of its proper divisors (86723684016).

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

38268847200 is a wasteful number, since it uses less digits than its factorization.

38268847200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54737 (or 54724 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 38268847200 in words is "thirty-eight billion, two hundred sixty-eight million, eight hundred forty-seven thousand, two hundred".