3457566336 has 128 divisors (see below), whose sum is σ = 10528358400. Its totient is φ = 984849408.

The previous prime is 3457566323. The next prime is 3457566337. The reversal of 3457566336 is 6336657543.

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

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3457566337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 963201 + ... + 966783.

It is an arithmetic number, because the mean of its divisors is an integer number (82252800).

Almost surely, 2^3457566336 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 3457566336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264179200).

3457566336 is an abundant number, since it is smaller than the sum of its proper divisors (7070792064).

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

3457566336 is a wasteful number, since it uses less digits than its factorization.

3457566336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3954 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 48.

The square root of 3457566336 is about 58801.0742759008. The cubic root of 3457566336 is about 1512.1336350630.

The spelling of 3457566336 in words is "three billion, four hundred fifty-seven million, five hundred sixty-six thousand, three hundred thirty-six".