38965320 has 128 divisors (see below), whose sum is σ = 131472000. Its totient is φ = 10264320.

The previous prime is 38965307. The next prime is 38965327. The reversal of 38965320 is 2356983.

38965320 is a `hidden beast` number, since 38 + 96 + 532 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38965327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117555 + ... + 117885.

It is an arithmetic number, because the mean of its divisors is an integer number (1027125).

Almost surely, 2^38965320 is an apocalyptic number.

38965320 is a gapful number since it is divisible by the number (30) 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 38965320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65736000).

38965320 is an abundant number, since it is smaller than the sum of its proper divisors (92506680).

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

38965320 is a wasteful number, since it uses less digits than its factorization.

38965320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 38965320 is about 6242.2207586723. The cubic root of 38965320 is about 339.0205955065.

It can be divided in two parts, 3896 and 5320, that added together give a square (9216 = 96²).

The spelling of 38965320 in words is "thirty-eight million, nine hundred sixty-five thousand, three hundred twenty".