3490505760 has 576 divisors, whose sum is σ = 13837049856. Its totient is φ = 722810880.

The previous prime is 3490505749. The next prime is 3490505771. The reversal of 3490505760 is 675050943.

It is an interprime number because it is at equal distance from previous prime (3490505749) and next prime (3490505771).

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, 74266057 + ... + 74266103.

It is an arithmetic number, because the mean of its divisors is an integer number (24022656).

Almost surely, 2^3490505760 is an apocalyptic number.

3490505760 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 3490505760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918524928).

3490505760 is an abundant number, since it is smaller than the sum of its proper divisors (10346544096).

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

3490505760 is a wasteful number, since it uses less digits than its factorization.

3490505760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 3490505760 is about 59080.5023675324. The cubic root of 3490505760 is about 1516.9203805853.

The spelling of 3490505760 in words is "three billion, four hundred ninety million, five hundred five thousand, seven hundred sixty".