3457593216 has 640 divisors, whose sum is σ = 13222725120. Its totient is φ = 870912000.

The previous prime is 3457593203. The next prime is 3457593239. The reversal of 3457593216 is 6123957543.

3457593216 is a `hidden beast` number, since 3 + 4 + 57 + 593 + 2 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48698461 + ... + 48698531.

It is an arithmetic number, because the mean of its divisors is an integer number (20660508).

Almost surely, 2^3457593216 is an apocalyptic number.

3457593216 is a gapful number since it is divisible by the number (36) 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 3457593216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6611362560).

3457593216 is an abundant number, since it is smaller than the sum of its proper divisors (9765131904).

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

3457593216 is a wasteful number, since it uses less digits than its factorization.

3457593216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 3457593216 is about 58801.3028427092. The cubic root of 3457593216 is about 1512.1375536233.

The spelling of 3457593216 in words is "three billion, four hundred fifty-seven million, five hundred ninety-three thousand, two hundred sixteen".