3353540672 has 28 divisors (see below), whose sum is σ = 6656799996. Its totient is φ = 1676236800.

The previous prime is 3353540627. The next prime is 3353540681. The reversal of 3353540672 is 2760453533.

It can be written as a sum of positive squares in 2 ways, for example, as 1116629056 + 2236911616 = 33416^2 + 47296^2 .

It is a super-3 number, since 3×3353540672³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262628 + ... + 275100.

It is an arithmetic number, because the mean of its divisors is an integer number (237742857).

Almost surely, 2^3353540672 is an apocalyptic number.

3353540672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3353540672 is a deficient number, since it is larger than the sum of its proper divisors (3303259324).

3353540672 is a wasteful number, since it uses less digits than its factorization.

3353540672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16686 (or 16676 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 38.

The square root of 3353540672 is about 57909.7631837672. The cubic root of 3353540672 is about 1496.8140783559.

The spelling of 3353540672 in words is "three billion, three hundred fifty-three million, five hundred forty thousand, six hundred seventy-two".