39145920 has 168 divisors, whose sum is σ = 137019792. Its totient is φ = 9461760.

The previous prime is 39145919. The next prime is 39145937. The reversal of 39145920 is 2954193.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115992 + ... + 116328.

It is an arithmetic number, because the mean of its divisors is an integer number (815594).

Almost surely, 2^39145920 is an apocalyptic number.

39145920 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 39145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68509896).

39145920 is an abundant number, since it is smaller than the sum of its proper divisors (97873872).

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

39145920 is a wasteful number, since it uses less digits than its factorization.

39145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 39145920 is about 6256.6700408444. The cubic root of 39145920 is about 339.5435628417.

The spelling of 39145920 in words is "thirty-nine million, one hundred forty-five thousand, nine hundred twenty".