38084640 has 96 divisors (see below), whose sum is σ = 130890816. Its totient is φ = 9231360.

The previous prime is 38084639. The next prime is 38084653. The reversal of 38084640 is 4648083.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×38084640³ (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1674 + ... + 8886.

It is an arithmetic number, because the mean of its divisors is an integer number (1363446).

Almost surely, 2^38084640 is an apocalyptic number.

38084640 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 38084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65445408).

38084640 is an abundant number, since it is smaller than the sum of its proper divisors (92806176).

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

38084640 is a wasteful number, since it uses less digits than its factorization.

38084640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7242 (or 7234 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 38084640 is about 6171.2753949245. The cubic root of 38084640 is about 336.4469675114.

It can be divided in two parts, 3808 and 4640, that added together give a palindrome (8448).

The spelling of 38084640 in words is "thirty-eight million, eighty-four thousand, six hundred forty".