39345120 has 144 divisors (see below), whose sum is σ = 136216080. Its totient is φ = 10340352.

The previous prime is 39345101. The next prime is 39345121. The reversal of 39345120 is 2154393.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39345121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128007 + ... + 128313.

It is an arithmetic number, because the mean of its divisors is an integer number (945945).

Almost surely, 2^39345120 is an apocalyptic number.

39345120 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 39345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68108040).

39345120 is an abundant number, since it is smaller than the sum of its proper divisors (96870960).

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

39345120 is a wasteful number, since it uses less digits than its factorization.

39345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 39345120 is about 6272.5688517544. The cubic root of 39345120 is about 340.1185284555.

The spelling of 39345120 in words is "thirty-nine million, three hundred forty-five thousand, one hundred twenty".