38964960 has 72 divisors (see below), whose sum is σ = 132972840. Its totient is φ = 10390272.

The previous prime is 38964943. The next prime is 38964971. The reversal of 38964960 is 6946983.

38964960 = 177² + 178² + ... + 496².

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12090 + ... + 14969.

It is an arithmetic number, because the mean of its divisors is an integer number (1846845).

Almost surely, 2^38964960 is an apocalyptic number.

38964960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38964960 is an abundant number, since it is smaller than the sum of its proper divisors (94007880).

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

38964960 is a wasteful number, since it uses less digits than its factorization.

38964960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27080 (or 27069 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 38964960 is about 6242.1919227143. The cubic root of 38964960 is about 339.0195514346.

The spelling of 38964960 in words is "thirty-eight million, nine hundred sixty-four thousand, nine hundred sixty".