38047680 has 168 divisors, whose sum is σ = 142884144. Its totient is φ = 9216000.

The previous prime is 38047661. The next prime is 38047699. The reversal of 38047680 is 8674083.

It is an interprime number because it is at equal distance from previous prime (38047661) and next prime (38047699).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31080 + ... + 32280.

Almost surely, 2^38047680 is an apocalyptic number.

38047680 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 38047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71442072).

38047680 is an abundant number, since it is smaller than the sum of its proper divisors (104836464).

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

38047680 is a wasteful number, since it uses less digits than its factorization.

38047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 38047680 is about 6168.2801492799. The cubic root of 38047680 is about 336.3380950569.

The spelling of 38047680 in words is "thirty-eight million, forty-seven thousand, six hundred eighty".