38082640 has 40 divisors (see below), whose sum is σ = 89768808. Its totient is φ = 15022080.

The previous prime is 38082619. The next prime is 38082659. The reversal of 38082640 is 4628083.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12559936 + 25522704 = 3544^2 + 5052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2580 + ... + 9100.

Almost surely, 2^38082640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38082640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44884404).

38082640 is an abundant number, since it is smaller than the sum of its proper divisors (51686168).

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

38082640 is a wasteful number, since it uses less digits than its factorization.

38082640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6607 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 38082640 is about 6171.1133517381. The cubic root of 38082640 is about 336.4410779479.

The spelling of 38082640 in words is "thirty-eight million, eighty-two thousand, six hundred forty".