3429618624 has 224 divisors, whose sum is σ = 10738347840. Its totient is φ = 1069645824.

The previous prime is 3429618601. The next prime is 3429618631. The reversal of 3429618624 is 4268169243.

3429618624 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 6 + 18 + 624 = 666.

3429618624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3429618624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9194502 + ... + 9194874.

Almost surely, 2^3429618624 is an apocalyptic number.

3429618624 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3429618624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369173920).

3429618624 is an abundant number, since it is smaller than the sum of its proper divisors (7308729216).

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

3429618624 is a wasteful number, since it uses less digits than its factorization.

3429618624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 708 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 3429618624 is about 58562.9458275453. The cubic root of 3429618624 is about 1508.0483864142.

The spelling of 3429618624 in words is "three billion, four hundred twenty-nine million, six hundred eighteen thousand, six hundred twenty-four".