3450205760 has 224 divisors, whose sum is σ = 9217152000. Its totient is φ = 1223884800.

The previous prime is 3450205757. The next prime is 3450205771. The reversal of 3450205760 is 675020543.

3450205760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6913991 + ... + 6914489.

It is an arithmetic number, because the mean of its divisors is an integer number (41148000).

Almost surely, 2^3450205760 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 3450205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608576000).

3450205760 is an abundant number, since it is smaller than the sum of its proper divisors (5766946240).

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

3450205760 is a wasteful number, since it uses less digits than its factorization.

3450205760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 3450205760 is about 58738.4521416763. The cubic root of 3450205760 is about 1511.0598468448.

The spelling of 3450205760 in words is "three billion, four hundred fifty million, two hundred five thousand, seven hundred sixty".