3372992768 has 72 divisors (see below), whose sum is σ = 6845078016. Its totient is φ = 1658624000.

The previous prime is 3372992767. The next prime is 3372992891. The reversal of 3372992768 is 8672992733.

It is a happy number.

It is a super-3 number, since 3×3372992768³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3372992767) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4938155 + ... + 4938837.

It is an arithmetic number, because the mean of its divisors is an integer number (95070528).

Almost surely, 2^3372992768 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 3372992768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422539008).

3372992768 is an abundant number, since it is smaller than the sum of its proper divisors (3472085248).

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

3372992768 is a wasteful number, since it uses less digits than its factorization.

3372992768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 977 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 56.

The square root of 3372992768 is about 58077.4721212967. The cubic root of 3372992768 is about 1499.7025733251.

The spelling of 3372992768 in words is "three billion, three hundred seventy-two million, nine hundred ninety-two thousand, seven hundred sixty-eight".