3342873760 has 96 divisors (see below), whose sum is σ = 8015792400. Its totient is φ = 1317273600.

The previous prime is 3342873757. The next prime is 3342873773. The reversal of 3342873760 is 673782433.

It can be written as a sum of positive squares in 8 ways, for example, as 1353356944 + 1989516816 = 36788^2 + 44604^2 .

It is a super-2 number, since 2×3342873760² = 22349609950593075200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4346656 + ... + 4347424.

Almost surely, 2^3342873760 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 3342873760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007896200).

3342873760 is an abundant number, since it is smaller than the sum of its proper divisors (4672918640).

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

3342873760 is a wasteful number, since it uses less digits than its factorization.

3342873760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 43.

The square root of 3342873760 is about 57817.5904029215. The cubic root of 3342873760 is about 1495.2253751342.

The spelling of 3342873760 in words is "three billion, three hundred forty-two million, eight hundred seventy-three thousand, seven hundred sixty".