3490724249104 has 45 divisors (see below), whose sum is σ = 6800652127821. Its totient is φ = 1735770025920.

The previous prime is 3490724249053. The next prime is 3490724249107. The reversal of 3490724249104 is 4019424270943.

It is a happy number.

The square root of 3490724249104 is 1868348.

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

It can be written as a sum of positive squares in only one way, i.e., 3420206384400 + 70517864704 = 1849380^2 + 265552^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3490724249107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1472257039 + ... + 1472259409.

Almost surely, 2^{3490724249104} is an apocalyptic number.

3490724249104 is the 1868348-th square number.

It is an amenable number.

3490724249104 is a deficient number, since it is larger than the sum of its proper divisors (3309927878717).

3490724249104 is an frugal number, since it uses more digits than its factorization.

3490724249104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 3490724249104 by its sum of digits (49), we get a square (171045488206096 = 13078436²).

The spelling of 3490724249104 in words is "three trillion, four hundred ninety billion, seven hundred twenty-four million, two hundred forty-nine thousand, one hundred four".