3457320672 has 96 divisors (see below), whose sum is σ = 9785331360. Its totient is φ = 1062512640.

The previous prime is 3457320653. The next prime is 3457320683. The reversal of 3457320672 is 2760237543.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3457320672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2022154 + ... + 2023862.

It is an arithmetic number, because the mean of its divisors is an integer number (101930535).

Almost surely, 2^3457320672 is an apocalyptic number.

3457320672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3457320672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892665680).

3457320672 is an abundant number, since it is smaller than the sum of its proper divisors (6328010688).

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

3457320672 is a wasteful number, since it uses less digits than its factorization.

3457320672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 39.

The square root of 3457320672 is about 58798.9852973672. The cubic root of 3457320672 is about 1512.0978212796.

The spelling of 3457320672 in words is "three billion, four hundred fifty-seven million, three hundred twenty thousand, six hundred seventy-two".