38163680 has 48 divisors (see below), whose sum is σ = 91128240. Its totient is φ = 15101952.

The previous prime is 38163677. The next prime is 38163683. The reversal of 38163680 is 8636183.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38163677) and next prime (38163683).

It is a super-2 number, since 2×38163680² = 2912932942284800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38163680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38163683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14291 + ... + 16749.

It is an arithmetic number, because the mean of its divisors is an integer number (1898505).

Almost surely, 2^38163680 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 38163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45564120).

38163680 is an abundant number, since it is smaller than the sum of its proper divisors (52964560).

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

38163680 is a wasteful number, since it uses less digits than its factorization.

38163680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 38163680 is about 6177.6759384092. The cubic root of 38163680 is about 336.6795581553.

The spelling of 38163680 in words is "thirty-eight million, one hundred sixty-three thousand, six hundred eighty".