3468964224 has 128 divisors (see below), whose sum is σ = 10399104000. Its totient is φ = 1014917120.

The previous prime is 3468964183. The next prime is 3468964237. The reversal of 3468964224 is 4224698643.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108337 + ... + 136655.

It is an arithmetic number, because the mean of its divisors is an integer number (81243000).

Almost surely, 2^3468964224 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 3468964224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199552000).

3468964224 is an abundant number, since it is smaller than the sum of its proper divisors (6930139776).

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

3468964224 is a wasteful number, since it uses less digits than its factorization.

3468964224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28376 (or 28364 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The square root of 3468964224 is about 58897.9135793451. The cubic root of 3468964224 is about 1513.7933984321.

The spelling of 3468964224 in words is "three billion, four hundred sixty-eight million, nine hundred sixty-four thousand, two hundred twenty-four".