38962960 has 40 divisors (see below), whose sum is σ = 91541016. Its totient is φ = 15421440.

The previous prime is 38962927. The next prime is 38962967. The reversal of 38962960 is 6926983.

It can be written as a sum of positive squares in 4 ways, for example, as 10061584 + 28901376 = 3172^2 + 5376^2 .

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

It is a super-2 number, since 2×38962960² = 3036224503923200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38962967) 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, 5250 + ... + 10270.

Almost surely, 2^38962960 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 38962960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45770508).

38962960 is an abundant number, since it is smaller than the sum of its proper divisors (52578056).

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

38962960 is a wasteful number, since it uses less digits than its factorization.

38962960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131 (or 5125 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 38962960 is about 6242.0317205218. The cubic root of 38962960 is about 339.0137509179.

The spelling of 38962960 in words is "thirty-eight million, nine hundred sixty-two thousand, nine hundred sixty".