38290560 has 384 divisors, whose sum is σ = 159071040. Its totient is φ = 7741440.

The previous prime is 38290537. The next prime is 38290583. The reversal of 38290560 is 6509283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38290537) and next prime (38290583).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×38290560² = 2932333970227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034862 + ... + 1034898.

Almost surely, 2^38290560 is an apocalyptic number.

38290560 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 38290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79535520).

38290560 is an abundant number, since it is smaller than the sum of its proper divisors (120780480).

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

38290560 is a wasteful number, since it uses less digits than its factorization.

38290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 38290560 is about 6187.9366512594. The cubic root of 38290560 is about 337.0522567457.

The spelling of 38290560 in words is "thirty-eight million, two hundred ninety thousand, five hundred sixty".