3426549984 has 576 divisors, whose sum is σ = 12548390400. Its totient is φ = 870912000.

The previous prime is 3426549911. The next prime is 3426550007. The reversal of 3426549984 is 4899456243.

3426549984 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 549 + 98 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3426549984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22692309 + ... + 22692459.

It is an arithmetic number, because the mean of its divisors is an integer number (21785400).

Almost surely, 2^3426549984 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 3426549984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274195200).

3426549984 is an abundant number, since it is smaller than the sum of its proper divisors (9121840416).

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

3426549984 is a wasteful number, since it uses less digits than its factorization.

3426549984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 3426549984 is about 58536.7404627214. The cubic root of 3426549984 is about 1507.5984784227.

The spelling of 3426549984 in words is "three billion, four hundred twenty-six million, five hundred forty-nine thousand, nine hundred eighty-four".