3460031680 has 224 divisors, whose sum is σ = 9901854720. Its totient is φ = 1125949440.

The previous prime is 3460031677. The next prime is 3460031681. The reversal of 3460031680 is 861300643.

3460031680 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 (224).

It is not an unprimeable number, because it can be changed into a prime (3460031681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12313140 + ... + 12313420.

Almost surely, 2^3460031680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3460031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950927360).

3460031680 is an abundant number, since it is smaller than the sum of its proper divisors (6441823040).

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

3460031680 is a wasteful number, since it uses less digits than its factorization.

3460031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 3460031680 is about 58822.0339668733. The cubic root of 3460031680 is about 1512.4929478987.

The spelling of 3460031680 in words is "three billion, four hundred sixty million, thirty-one thousand, six hundred eighty".