3490965504 has 288 divisors, whose sum is σ = 11510258760. Its totient is φ = 1009778688.

The previous prime is 3490965497. The next prime is 3490965529. The reversal of 3490965504 is 4055690943.

3490965504 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 96 + 550 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3373286400 + 117679104 = 58080^2 + 10848^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 3490965504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4073044 + ... + 4073900.

Almost surely, 2^3490965504 is an apocalyptic number.

3490965504 is a gapful number since it is divisible by the number (34) 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 3490965504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755129380).

3490965504 is an abundant number, since it is smaller than the sum of its proper divisors (8019293256).

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

3490965504 is a wasteful number, since it uses less digits than its factorization.

3490965504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3490965504 is about 59084.3930661897. The cubic root of 3490965504 is about 1516.9869768969.

The spelling of 3490965504 in words is "three billion, four hundred ninety million, nine hundred sixty-five thousand, five hundred four".