38980864 has 108 divisors (see below), whose sum is σ = 90894636. Its totient is φ = 16613376.

The previous prime is 38980853. The next prime is 38980871. The reversal of 38980864 is 46808983.

It can be written as a sum of positive squares in 6 ways, for example, as 640000 + 38340864 = 800^2 + 6192^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 735462 + ... + 735514.

It is an arithmetic number, because the mean of its divisors is an integer number (841617).

Almost surely, 2^38980864 is an apocalyptic number.

38980864 is a gapful number since it is divisible by the number (34) 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 38980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45447318).

38980864 is an abundant number, since it is smaller than the sum of its proper divisors (51913772).

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

38980864 is a wasteful number, since it uses less digits than its factorization.

38980864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 38980864 is about 6243.4657042383. The cubic root of 38980864 is about 339.0656700802.

The spelling of 38980864 in words is "thirty-eight million, nine hundred eighty thousand, eight hundred sixty-four".