39129090 has 128 divisors (see below), whose sum is σ = 126185472. Its totient is φ = 7499520.

The previous prime is 39129089. The next prime is 39129107. The reversal of 39129090 is 9092193.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29379 + ... + 30681.

It is an arithmetic number, because the mean of its divisors is an integer number (985824).

Almost surely, 2^39129090 is an apocalyptic number.

39129090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39129090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63092736).

39129090 is an abundant number, since it is smaller than the sum of its proper divisors (87056382).

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

39129090 is a wasteful number, since it uses less digits than its factorization.

39129090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344.

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 39129090 is about 6255.3249316083. The cubic root of 39129090 is about 339.4948958942.

The spelling of 39129090 in words is "thirty-nine million, one hundred twenty-nine thousand, ninety".