38549582400 has 672 divisors, whose sum is σ = 152898213888. Its totient is φ = 8312832000.

The previous prime is 38549582389. The next prime is 38549582443. The reversal of 38549582400 is 428594583.

It is a tau number, because it is divible by the number of its divisors (672).

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 38549582400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64142100 + ... + 64142700.

It is an arithmetic number, because the mean of its divisors is an integer number (227527104).

Almost surely, 2^38549582400 is an apocalyptic number.

38549582400 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 38549582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76449106944).

38549582400 is an abundant number, since it is smaller than the sum of its proper divisors (114348631488).

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

38549582400 is a wasteful number, since it uses less digits than its factorization.

38549582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 38549582400 in words is "thirty-eight billion, five hundred forty-nine million, five hundred eighty-two thousand, four hundred".