3423087360 has 864 divisors, whose sum is σ = 15703414272. Its totient is φ = 666501120.

The previous prime is 3423087341. The next prime is 3423087389. The reversal of 3423087360 is 637803243.

3423087360 is a `hidden beast` number, since 342 + 308 + 7 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15079567 + ... + 15079793.

It is an arithmetic number, because the mean of its divisors is an integer number (18175248).

Almost surely, 2^3423087360 is an apocalyptic number.

3423087360 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 3423087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7851707136).

3423087360 is an abundant number, since it is smaller than the sum of its proper divisors (12280326912).

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

3423087360 is a wasteful number, since it uses less digits than its factorization.

3423087360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3423087360 is about 58507.1564853395. The cubic root of 3423087360 is about 1507.0904838813.

The spelling of 3423087360 in words is "three billion, four hundred twenty-three million, eighty-seven thousand, three hundred sixty".