38013680 has 80 divisors (see below), whose sum is σ = 94413600. Its totient is φ = 14192640.

The previous prime is 38013671. The next prime is 38013691. The reversal of 38013680 is 8631083.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 135140 + ... + 135420.

It is an arithmetic number, because the mean of its divisors is an integer number (1180170).

Almost surely, 2^38013680 is an apocalyptic number.

38013680 is the 3560-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47206800).

38013680 is an abundant number, since it is smaller than the sum of its proper divisors (56399920).

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

38013680 is a wasteful number, since it uses less digits than its factorization.

38013680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 38013680 is about 6165.5234976440. The cubic root of 38013680 is about 336.2378795445.

It can be divided in two parts, 380 and 13680, that multiplied together give a square (5198400 = 2280²).

The spelling of 38013680 in words is "thirty-eight million, thirteen thousand, six hundred eighty".