3457617345 has 48 divisors (see below), whose sum is σ = 7376259072. Its totient is φ = 1459036800.

The previous prime is 3457617299. The next prime is 3457617409. The reversal of 3457617345 is 5437167543.

3457617345 is a `hidden beast` number, since 3 + 4 + 576 + 1 + 73 + 4 + 5 = 666.

It is not a de Polignac number, because 3457617345 - 2⁶ = 3457617281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3457617345.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418081 + ... + 426270.

It is an arithmetic number, because the mean of its divisors is an integer number (153672064).

Almost surely, 2^3457617345 is an apocalyptic number.

3457617345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3457617345 is an abundant number, since it is smaller than the sum of its proper divisors (3918641727).

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

3457617345 is a wasteful number, since it uses less digits than its factorization.

3457617345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844382 (or 844379 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The square root of 3457617345 is about 58801.5080163766. The cubic root of 3457617345 is about 1512.1410711262.

The spelling of 3457617345 in words is "three billion, four hundred fifty-seven million, six hundred seventeen thousand, three hundred forty-five".