38700720 has 320 divisors, whose sum is σ = 149990400. Its totient is φ = 9123840.

The previous prime is 38700707. The next prime is 38700733. The reversal of 38700720 is 2700783.

It is an interprime number because it is at equal distance from previous prime (38700707) and next prime (38700733).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 943900 + ... + 943940.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^38700720 is an apocalyptic number.

38700720 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 38700720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

38700720 is an abundant number, since it is smaller than the sum of its proper divisors (111289680).

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

38700720 is a wasteful number, since it uses less digits than its factorization.

38700720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 38700720 is about 6220.9902748678. The cubic root of 38700720 is about 338.2514613926.

The spelling of 38700720 in words is "thirty-eight million, seven hundred thousand, seven hundred twenty".