3429603264024 has 256 divisors, whose sum is σ = 11574028569600. Its totient is φ = 918570240000.

The previous prime is 3429603263969. The next prime is 3429603264083. The reversal of 3429603264024 is 4204623069243.

3429603264024 is a `hidden beast` number, since 34 + 2 + 9 + 603 + 2 + 6 + 4 + 0 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6185914 + ... + 6717494.

It is an arithmetic number, because the mean of its divisors is an integer number (45211049100).

Almost surely, 2^{3429603264024} is an apocalyptic number.

3429603264024 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 3429603264024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787014284800).

3429603264024 is an abundant number, since it is smaller than the sum of its proper divisors (8144425305576).

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

3429603264024 is a wasteful number, since it uses less digits than its factorization.

3429603264024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531871 (or 531861 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 3429603264024 in words is "three trillion, four hundred twenty-nine billion, six hundred three million, two hundred sixty-four thousand, twenty-four".