3468133680 has 240 divisors, whose sum is σ = 12128009472. Its totient is φ = 813043200.

The previous prime is 3468133679. The next prime is 3468133717. The reversal of 3468133680 is 863318643.

3468133680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2536357 + ... + 2537723.

Almost surely, 2^3468133680 is an apocalyptic number.

3468133680 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 3468133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064004736).

3468133680 is an abundant number, since it is smaller than the sum of its proper divisors (8659875792).

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

3468133680 is a wasteful number, since it uses less digits than its factorization.

3468133680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 3468133680 is about 58890.8624491100. The cubic root of 3468133680 is about 1513.6725773170.

The spelling of 3468133680 in words is "three billion, four hundred sixty-eight million, one hundred thirty-three thousand, six hundred eighty".