39134340 has 360 divisors, whose sum is σ = 156423960. Its totient is φ = 8128512.

The previous prime is 39134327. The next prime is 39134353. The reversal of 39134340 is 4343193.

It is an interprime number because it is at equal distance from previous prime (39134327) and next prime (39134353).

It can be written as a sum of positive squares in 4 ways, for example, as 8398404 + 30735936 = 2898^2 + 5544^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1349446 + ... + 1349474.

It is an arithmetic number, because the mean of its divisors is an integer number (434511).

Almost surely, 2^39134340 is an apocalyptic number.

39134340 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 39134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78211980).

39134340 is an abundant number, since it is smaller than the sum of its proper divisors (117289620).

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

39134340 is a wasteful number, since it uses less digits than its factorization.

39134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 39134340 is about 6255.7445600024. The cubic root of 39134340 is about 339.5100787032.

The spelling of 39134340 in words is "thirty-nine million, one hundred thirty-four thousand, three hundred forty".