3484613690944 has 63 divisors (see below), whose sum is σ = 7298464903041. Its totient is φ = 1650472081920.

The previous prime is 3484613690927. The next prime is 3484613690981. The reversal of 3484613690944 is 4490963164843.

The square root of 3484613690944 is 1866712.

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., 3045415892544 + 439197798400 = 1745112^2 + 662720^2 .

It is a super-2 number, since 2×3484613690944² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 283734084 + ... + 283746364.

Almost surely, 2^{3484613690944} is an apocalyptic number.

3484613690944 is the 1866712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3484613690944

3484613690944 is an abundant number, since it is smaller than the sum of its proper divisors (3813851212097).

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

3484613690944 is an frugal number, since it uses more digits than its factorization.

3484613690944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24612 (or 12302 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 61.

The spelling of 3484613690944 in words is "three trillion, four hundred eighty-four billion, six hundred thirteen million, six hundred ninety thousand, nine hundred forty-four".