3407629824 has 240 divisors, whose sum is σ = 10389178800. Its totient is φ = 1114767360.

The previous prime is 3407629817. The next prime is 3407629903. The reversal of 3407629824 is 4289267043.

It is a super-2 number, since 2×3407629824² = 23223882034828541952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3407629824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7589152 + ... + 7589600.

It is an arithmetic number, because the mean of its divisors is an integer number (43288245).

Almost surely, 2^3407629824 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 3407629824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194589400).

3407629824 is an abundant number, since it is smaller than the sum of its proper divisors (6981548976).

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

3407629824 is an frugal number, since it uses more digits than its factorization.

3407629824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3407629824 is about 58374.9074860081. The cubic root of 3407629824 is about 1504.8185524601.

The spelling of 3407629824 in words is "three billion, four hundred seven million, six hundred twenty-nine thousand, eight hundred twenty-four".