3464457360 has 640 divisors, whose sum is σ = 13985104896. Its totient is φ = 690094080.

The previous prime is 3464457323. The next prime is 3464457361. The reversal of 3464457360 is 637544643.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3464457361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47458284 + ... + 47458356.

Almost surely, 2^3464457360 is an apocalyptic number.

3464457360 is a gapful number since it is divisible by the number (30) 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 3464457360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992552448).

3464457360 is an abundant number, since it is smaller than the sum of its proper divisors (10520647536).

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

3464457360 is a wasteful number, since it uses less digits than its factorization.

3464457360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The square root of 3464457360 is about 58859.6411813732. The cubic root of 3464457360 is about 1513.1375429437.

The spelling of 3464457360 in words is "three billion, four hundred sixty-four million, four hundred fifty-seven thousand, three hundred sixty".