3675468456 has 96 divisors (see below), whose sum is σ = 10872688320. Its totient is φ = 1112409600.

The previous prime is 3675468451. The next prime is 3675468487. The reversal of 3675468456 is 6548645763.

It is not an unprimeable number, because it can be changed into a prime (3675468451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 776176 + ... + 780896.

It is an arithmetic number, because the mean of its divisors is an integer number (113257170).

Almost surely, 2^3675468456 is an apocalyptic number.

3675468456 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 3675468456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5436344160).

3675468456 is an abundant number, since it is smaller than the sum of its proper divisors (7197219864).

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

3675468456 is a wasteful number, since it uses less digits than its factorization.

3675468456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5727 (or 5720 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The square root of 3675468456 is about 60625.6419017564. The cubic root of 3675468456 is about 1543.2545519182.

The spelling of 3675468456 in words is "three billion, six hundred seventy-five million, four hundred sixty-eight thousand, four hundred fifty-six".