38000760 has 128 divisors (see below), whose sum is σ = 137203200. Its totient is φ = 8225280.

The previous prime is 38000749. The next prime is 38000771. The reversal of 38000760 is 6700083.

It is an interprime number because it is at equal distance from previous prime (38000749) and next prime (38000771).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 38000760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14770 + ... + 17150.

It is an arithmetic number, because the mean of its divisors is an integer number (1071900).

Almost surely, 2^38000760 is an apocalyptic number.

38000760 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 38000760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68601600).

38000760 is an abundant number, since it is smaller than the sum of its proper divisors (99202440).

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

38000760 is a wasteful number, since it uses less digits than its factorization.

38000760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 38000760 is about 6164.4756468008. The cubic root of 38000760 is about 336.1997819819.

The spelling of 38000760 in words is "thirty-eight million, seven hundred sixty", and thus it is an aban number.