39130400 has 72 divisors (see below), whose sum is σ = 97939044. Its totient is φ = 15257600.

The previous prime is 39130391. The next prime is 39130411. The reversal of 39130400 is 403193.

It can be written as a sum of positive squares in 6 ways, for example, as 5071504 + 34058896 = 2252^2 + 5836^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32204 + ... + 33396.

Almost surely, 2^39130400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48969522).

39130400 is an abundant number, since it is smaller than the sum of its proper divisors (58808644).

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

39130400 is a wasteful number, since it uses less digits than its factorization.

39130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 39130400 is about 6255.4296415194. The cubic root of 39130400 is about 339.4986844937.

Adding to 39130400 its reverse (403193), we get a palindrome (39533593).

The spelling of 39130400 in words is "thirty-nine million, one hundred thirty thousand, four hundred".