3463560000 has 350 divisors, whose sum is σ = 12841740890. Its totient is φ = 922752000.

The previous prime is 3463559977. The next prime is 3463560011. The reversal of 3463560000 is 653643.

3463560000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 1412557056 + 2051002944 = 37584^2 + 45288^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3239466 + ... + 3240534.

Almost surely, 2^3463560000 is an apocalyptic number.

3463560000 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 3463560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6420870445).

3463560000 is an abundant number, since it is smaller than the sum of its proper divisors (9378180890).

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

3463560000 is an equidigital number, since it uses as much as digits as its factorization.

3463560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3463560000 is about 58852.0178073785. The cubic root of 3463560000 is about 1513.0068879121.

The spelling of 3463560000 in words is "three billion, four hundred sixty-three million, five hundred sixty thousand".