3363268272 has 240 divisors, whose sum is σ = 11262716640. Its totient is φ = 856203264.

The previous prime is 3363268267. The next prime is 3363268283. The reversal of 3363268272 is 2728623633.

3363268272 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3363268272² = 22623146938883731968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884808 + ... + 888600.

It is an arithmetic number, because the mean of its divisors is an integer number (46927986).

Almost surely, 2^3363268272 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 3363268272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5631358320).

3363268272 is an abundant number, since it is smaller than the sum of its proper divisors (7899448368).

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

3363268272 is a wasteful number, since it uses less digits than its factorization.

3363268272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860 (or 3847 counting only the distinct ones).

The product of its digits is 435456, while the sum is 42.

The square root of 3363268272 is about 57993.6916569380. The cubic root of 3363268272 is about 1498.2599484832.

The spelling of 3363268272 in words is "three billion, three hundred sixty-three million, two hundred sixty-eight thousand, two hundred seventy-two".