3449272464 has 480 divisors, whose sum is σ = 12032563200. Its totient is φ = 940896000.

The previous prime is 3449272459. The next prime is 3449272507. The reversal of 3449272464 is 4642729443.

3449272464 is a `hidden beast` number, since 34 + 4 + 92 + 72 + 464 = 666.

3449272464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 22842789 + ... + 22842939.

It is an arithmetic number, because the mean of its divisors is an integer number (25067840).

Almost surely, 2^3449272464 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 3449272464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016281600).

3449272464 is an abundant number, since it is smaller than the sum of its proper divisors (8583290736).

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

3449272464 is a wasteful number, since it uses less digits than its factorization.

3449272464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 209 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 3449272464 is about 58730.5070981002. The cubic root of 3449272464 is about 1510.9235850883.

The spelling of 3449272464 in words is "three billion, four hundred forty-nine million, two hundred seventy-two thousand, four hundred sixty-four".