3504640000 has 195 divisors, whose sum is σ = 9000819597. Its totient is φ = 1363968000.

The previous prime is 3504639997. The next prime is 3504640001. The reversal of 3504640000 is 464053.

The square root of 3504640000 is 59200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1163628544 + 2341011456 = 34112^2 + 48384^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3504640001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 94719982 + ... + 94720018.

Almost surely, 2^3504640000 is an apocalyptic number.

3504640000 is the 59200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3504640000

3504640000 is an abundant number, since it is smaller than the sum of its proper divisors (5496179597).

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

3504640000 is an frugal number, since it uses more digits than its factorization.

3504640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The cubic root of 3504640000 is about 1518.9651312270.

The spelling of 3504640000 in words is "three billion, five hundred four million, six hundred forty thousand".