39144120 has 64 divisors (see below), whose sum is σ = 118609920. Its totient is φ = 10333824.

The previous prime is 39144109. The next prime is 39144151. The reversal of 39144120 is 2144193.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10777 + ... + 13943.

It is an arithmetic number, because the mean of its divisors is an integer number (1853280).

Almost surely, 2^39144120 is an apocalyptic number.

39144120 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 39144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59304960).

39144120 is an abundant number, since it is smaller than the sum of its proper divisors (79465800).

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

39144120 is a wasteful number, since it uses less digits than its factorization.

39144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 39144120 is about 6256.5261927047. The cubic root of 39144120 is about 339.5383584868.

The spelling of 39144120 in words is "thirty-nine million, one hundred forty-four thousand, one hundred twenty".