3402545313024 has 432 divisors, whose sum is σ = 11793561299520. Its totient is φ = 929623080960.

The previous prime is 3402545313007. The next prime is 3402545313061. The reversal of 3402545313024 is 4203135452043.

3402545313024 is a `hidden beast` number, since 3 + 40 + 2 + 54 + 531 + 30 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3402545313024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14047212 + ... + 14287380.

Almost surely, 2^{3402545313024} 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 3402545313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896780649760).

3402545313024 is an abundant number, since it is smaller than the sum of its proper divisors (8391015986496).

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

3402545313024 is a wasteful number, since it uses less digits than its factorization.

3402545313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240258 (or 240241 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 3402545313024 in words is "three trillion, four hundred two billion, five hundred forty-five million, three hundred thirteen thousand, twenty-four".