3409946332816 has 45 divisors (see below), whose sum is σ = 6842876417481. Its totient is φ = 1646077578432.

The previous prime is 3409946332759. The next prime is 3409946332823. The reversal of 3409946332816 is 6182336499043.

It is a happy number.

The square root of 3409946332816 is 1846604.

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., 1788093142416 + 1621853190400 = 1337196^2 + 1273520^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 214198105 + ... + 214214023.

Almost surely, 2^{3409946332816} is an apocalyptic number.

3409946332816 is the 1846604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3409946332816

3409946332816 is an abundant number, since it is smaller than the sum of its proper divisors (3432930084665).

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

3409946332816 is an frugal number, since it uses more digits than its factorization.

3409946332816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31904 (or 15950 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 58.

The spelling of 3409946332816 in words is "three trillion, four hundred nine billion, nine hundred forty-six million, three hundred thirty-two thousand, eight hundred sixteen".