3468900960 has 576 divisors, whose sum is σ = 14197607424. Its totient is φ = 754790400.

The previous prime is 3468900959. The next prime is 3468901013. The reversal of 3468900960 is 690098643.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 26480095 + ... + 26480225.

It is an arithmetic number, because the mean of its divisors is an integer number (24648624).

Almost surely, 2^3468900960 is an apocalyptic number.

3468900960 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 3468900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7098803712).

3468900960 is an abundant number, since it is smaller than the sum of its proper divisors (10728706464).

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

3468900960 is a wasteful number, since it uses less digits than its factorization.

3468900960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3468900960 is about 58897.3765120315. The cubic root of 3468900960 is about 1513.7841959534.

The spelling of 3468900960 in words is "three billion, four hundred sixty-eight million, nine hundred thousand, nine hundred sixty".