3392668272 has 360 divisors, whose sum is σ = 11229638400. Its totient is φ = 877443840.

The previous prime is 3392668271. The next prime is 3392668283. The reversal of 3392668272 is 2728662933.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3392668271) 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 71 ways as a sum of consecutive naturals, for example, 42945129 + ... + 42945207.

It is an arithmetic number, because the mean of its divisors is an integer number (31193440).

Almost surely, 2^3392668272 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 3392668272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614819200).

3392668272 is an abundant number, since it is smaller than the sum of its proper divisors (7836970128).

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

3392668272 is a wasteful number, since it uses less digits than its factorization.

3392668272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 141 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 3392668272 is about 58246.6159703720. The cubic root of 3392668272 is about 1502.6129674023.

The spelling of 3392668272 in words is "three billion, three hundred ninety-two million, six hundred sixty-eight thousand, two hundred seventy-two".