3478866720 has 288 divisors, whose sum is σ = 12826247616. Its totient is φ = 790272000.

The previous prime is 3478866707. The next prime is 3478866763. The reversal of 3478866720 is 276688743.

3478866720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 4962370 + ... + 4963070.

It is an arithmetic number, because the mean of its divisors is an integer number (44535582).

Almost surely, 2^3478866720 is an apocalyptic number.

3478866720 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 3478866720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413123808).

3478866720 is an abundant number, since it is smaller than the sum of its proper divisors (9347380896).

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

3478866720 is a wasteful number, since it uses less digits than its factorization.

3478866720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The square root of 3478866720 is about 58981.9185852749. The cubic root of 3478866720 is about 1515.2324535213.

The spelling of 3478866720 in words is "three billion, four hundred seventy-eight million, eight hundred sixty-six thousand, seven hundred twenty".