3402563424 has 96 divisors (see below), whose sum is σ = 9632286720. Its totient is φ = 1045473792.

The previous prime is 3402563389. The next prime is 3402563431. The reversal of 3402563424 is 4243652043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1180417 + ... + 1183295.

It is an arithmetic number, because the mean of its divisors is an integer number (100336320).

Almost surely, 2^3402563424 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 3402563424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816143360).

3402563424 is an abundant number, since it is smaller than the sum of its proper divisors (6229723296).

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

3402563424 is a wasteful number, since it uses less digits than its factorization.

3402563424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3852 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The square root of 3402563424 is about 58331.4959863023. The cubic root of 3402563424 is about 1504.0724039008.

The spelling of 3402563424 in words is "three billion, four hundred two million, five hundred sixty-three thousand, four hundred twenty-four".