38106748800 has 576 divisors, whose sum is σ = 140171460000. Its totient is φ = 9853747200.

The previous prime is 38106748789. The next prime is 38106748817. The reversal of 38106748800 is 884760183.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 191491101 + ... + 191491299.

Almost surely, 2^38106748800 is an apocalyptic number.

38106748800 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 38106748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70085730000).

38106748800 is an abundant number, since it is smaller than the sum of its proper divisors (102064711200).

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

38106748800 is a wasteful number, since it uses less digits than its factorization.

38106748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 38106748800 in words is "thirty-eight billion, one hundred six million, seven hundred forty-eight thousand, eight hundred".