38810949120 has 480 divisors, whose sum is σ = 141158777760. Its totient is φ = 10218700800.

The previous prime is 38810949113. The next prime is 38810949137. The reversal of 38810949120 is 2194901883.

38810949120 is a `hidden beast` number, since 38 + 8 + 109 + 491 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 55364770 + ... + 55365470.

It is an arithmetic number, because the mean of its divisors is an integer number (294080787).

Almost surely, 2^38810949120 is an apocalyptic number.

38810949120 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 38810949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70579388880).

38810949120 is an abundant number, since it is smaller than the sum of its proper divisors (102347828640).

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

38810949120 is an frugal number, since it uses more digits than its factorization.

38810949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 38810949120 in words is "thirty-eight billion, eight hundred ten million, nine hundred forty-nine thousand, one hundred twenty".