33129440 has 48 divisors (see below), whose sum is σ = 79289280. Its totient is φ = 13079040.

The previous prime is 33129431. The next prime is 33129469. The reversal of 33129440 is 4492133.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11330 + ... + 13950.

It is an arithmetic number, because the mean of its divisors is an integer number (1651860).

Almost surely, 2^33129440 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 33129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39644640).

33129440 is an abundant number, since it is smaller than the sum of its proper divisors (46159840).

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

33129440 is a wasteful number, since it uses less digits than its factorization.

33129440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 33129440 is about 5755.8179262378. The cubic root of 33129440 is about 321.1722628803.

The spelling of 33129440 in words is "thirty-three million, one hundred twenty-nine thousand, four hundred forty".