39134040 has 128 divisors (see below), whose sum is σ = 133747200. Its totient is φ = 9067520.

The previous prime is 39134009. The next prime is 39134057. The reversal of 39134040 is 4043193.

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

It is a self number, because there is not a number n which added to its sum of digits gives 39134040.

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 31 ways as a sum of consecutive naturals, for example, 29716 + ... + 31004.

It is an arithmetic number, because the mean of its divisors is an integer number (1044900).

Almost surely, 2^39134040 is an apocalyptic number.

39134040 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 39134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66873600).

39134040 is an abundant number, since it is smaller than the sum of its proper divisors (94613160).

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

39134040 is a wasteful number, since it uses less digits than its factorization.

39134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 39134040 is about 6255.7205819953. The cubic root of 39134040 is about 339.5092111507.

The spelling of 39134040 in words is "thirty-nine million, one hundred thirty-four thousand, forty".