3424407504 has 80 divisors (see below), whose sum is σ = 10137208320. Its totient is φ = 975784320.

The previous prime is 3424407473. The next prime is 3424407517. The reversal of 3424407504 is 4057044243.

Together with 6712800815 it forms a betrothed pair.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113899 + ... + 140789.

It is an arithmetic number, because the mean of its divisors is an integer number (126715104).

Almost surely, 2^3424407504 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 3424407504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068604160).

3424407504 is an abundant number, since it is smaller than the sum of its proper divisors (6712800816).

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

3424407504 is a wasteful number, since it uses less digits than its factorization.

3424407504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27288 (or 27282 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 33.

The square root of 3424407504 is about 58518.4372997092. The cubic root of 3424407504 is about 1507.2841999179.

The spelling of 3424407504 in words is "three billion, four hundred twenty-four million, four hundred seven thousand, five hundred four".