38870046720 has 672 divisors, whose sum is σ = 144372533760. Its totient is φ = 10032906240.

The previous prime is 38870046617. The next prime is 38870046739. The reversal of 38870046720 is 2764007883.

It is a happy number.

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 (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 306063297 + ... + 306063423.

It is an arithmetic number, because the mean of its divisors is an integer number (214840080).

Almost surely, 2^38870046720 is an apocalyptic number.

38870046720 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 38870046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72186266880).

38870046720 is an abundant number, since it is smaller than the sum of its proper divisors (105502487040).

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

38870046720 is an equidigital number, since it uses as much as digits as its factorization.

38870046720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 38870046720 in words is "thirty-eight billion, eight hundred seventy million, forty-six thousand, seven hundred twenty".