38584140 has 48 divisors (see below), whose sum is σ = 123470592. Its totient is φ = 8819136.

The previous prime is 38584103. The next prime is 38584151. The reversal of 38584140 is 4148583.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45514 + ... + 46353.

It is an arithmetic number, because the mean of its divisors is an integer number (2572304).

Almost surely, 2^38584140 is an apocalyptic number.

38584140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38584140 is an abundant number, since it is smaller than the sum of its proper divisors (84886452).

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

38584140 is a wasteful number, since it uses less digits than its factorization.

38584140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91886 (or 91884 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 38584140 is about 6211.6133170055. The cubic root of 38584140 is about 337.9114761811.

It can be divided in two parts, 385841 and 40, that added together give a triangular number (385881 = T₈₇₈).

The spelling of 38584140 in words is "thirty-eight million, five hundred eighty-four thousand, one hundred forty".