39402120 has 64 divisors (see below), whose sum is σ = 119413440. Its totient is φ = 10400000.

The previous prime is 39402113. The next prime is 39402127. The reversal of 39402120 is 2120493.

It is an interprime number because it is at equal distance from previous prime (39402113) and next prime (39402127).

It is not an unprimeable number, because it can be changed into a prime (39402127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10495 + ... + 13745.

It is an arithmetic number, because the mean of its divisors is an integer number (1865835).

Almost surely, 2^39402120 is an apocalyptic number.

39402120 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 39402120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59706720).

39402120 is an abundant number, since it is smaller than the sum of its proper divisors (80011320).

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

39402120 is a wasteful number, since it uses less digits than its factorization.

39402120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 39402120 is about 6277.1108003603. The cubic root of 39402120 is about 340.2826945297.

The spelling of 39402120 in words is "thirty-nine million, four hundred two thousand, one hundred twenty".