38460848400 has 360 divisors, whose sum is σ = 149990358336. Its totient is φ = 9055411200.

The previous prime is 38460848383. The next prime is 38460848411. The reversal of 38460848400 is 484806483.

38460848400 is a `hidden beast` number, since 38 + 4 + 608 + 4 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1058535 + ... + 1094265.

Almost surely, 2^38460848400 is an apocalyptic number.

38460848400 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 38460848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995179168).

38460848400 is an abundant number, since it is smaller than the sum of its proper divisors (111529509936).

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

38460848400 is a wasteful number, since it uses less digits than its factorization.

38460848400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35791 (or 35777 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 38460848400 in words is "thirty-eight billion, four hundred sixty million, eight hundred forty-eight thousand, four hundred".