38084760 has 288 divisors, whose sum is σ = 153653760. Its totient is φ = 8128512.

The previous prime is 38084741. The next prime is 38084779. The reversal of 38084760 is 6748083.

It is an interprime number because it is at equal distance from previous prime (38084741) and next prime (38084779).

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 71 ways as a sum of consecutive naturals, for example, 299817 + ... + 299943.

It is an arithmetic number, because the mean of its divisors is an integer number (533520).

Almost surely, 2^38084760 is an apocalyptic number.

38084760 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 38084760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76826880).

38084760 is an abundant number, since it is smaller than the sum of its proper divisors (115569000).

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

38084760 is a wasteful number, since it uses less digits than its factorization.

38084760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

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

The square root of 38084760 is about 6171.2851173803. The cubic root of 38084760 is about 336.4473208787.

The spelling of 38084760 in words is "thirty-eight million, eighty-four thousand, seven hundred sixty".