39390120 has 384 divisors, whose sum is σ = 168480000. Its totient is φ = 7902720.

The previous prime is 39389989. The next prime is 39390167. The reversal of 39390120 is 2109393.

It is a super-2 number, since 2×39390120² = 3103163107228800, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1358266 + ... + 1358294.

It is an arithmetic number, because the mean of its divisors is an integer number (438750).

Almost surely, 2^39390120 is an apocalyptic number.

39390120 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 39390120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84240000).

39390120 is an abundant number, since it is smaller than the sum of its proper divisors (129089880).

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

39390120 is a wasteful number, since it uses less digits than its factorization.

39390120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 39390120 is about 6276.1548738061. The cubic root of 39390120 is about 340.2481464145.

The spelling of 39390120 in words is "thirty-nine million, three hundred ninety thousand, one hundred twenty".