3504546640 has 120 divisors (see below), whose sum is σ = 9498925512. Its totient is φ = 1198955520.

The previous prime is 3504546629. The next prime is 3504546701. The reversal of 3504546640 is 466454053.

It can be written as a sum of positive squares in 4 ways, for example, as 1209370176 + 2295176464 = 34776^2 + 47908^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3504546640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2966850 + ... + 2968030.

Almost surely, 2^3504546640 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 3504546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749462756).

3504546640 is an abundant number, since it is smaller than the sum of its proper divisors (5994378872).

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

3504546640 is a wasteful number, since it uses less digits than its factorization.

3504546640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The square root of 3504546640 is about 59199.2114812351. The cubic root of 3504546640 is about 1518.9516432184.

The spelling of 3504546640 in words is "three billion, five hundred four million, five hundred forty-six thousand, six hundred forty".