3466294272 has 132 divisors (see below), whose sum is σ = 11438898016. Its totient is φ = 990351360.

The previous prime is 3466294253. The next prime is 3466294301. The reversal of 3466294272 is 2724926643.

3466294272 is a `hidden beast` number, since 34 + 66 + 294 + 272 = 666.

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 11 ways as a sum of consecutive naturals, for example, 37647 + ... + 91377.

Almost surely, 2^3466294272 is an apocalyptic number.

3466294272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3466294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719449008).

3466294272 is an abundant number, since it is smaller than the sum of its proper divisors (7972603744).

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

3466294272 is a wasteful number, since it uses less digits than its factorization.

3466294272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53764 (or 53743 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 3466294272 is about 58875.2432861215. The cubic root of 3466294272 is about 1513.4049257899.

The spelling of 3466294272 in words is "three billion, four hundred sixty-six million, two hundred ninety-four thousand, two hundred seventy-two".