3462262272 has 320 divisors, whose sum is σ = 12041610240. Its totient is φ = 961486848.

The previous prime is 3462262253. The next prime is 3462262277. The reversal of 3462262272 is 2722622643.

3462262272 is a `hidden beast` number, since 3 + 4 + 6 + 22 + 622 + 7 + 2 = 666.

3462262272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3462262272² = 23974520080229203968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3462262277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3579933 + ... + 3580899.

It is an arithmetic number, because the mean of its divisors is an integer number (37630032).

Almost surely, 2^3462262272 is an apocalyptic number.

3462262272 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 3462262272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020805120).

3462262272 is an abundant number, since it is smaller than the sum of its proper divisors (8579347968).

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

3462262272 is an equidigital number, since it uses as much as digits as its factorization.

3462262272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1016 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 3462262272 is about 58840.9914260458. The cubic root of 3462262272 is about 1512.8178996382.

The spelling of 3462262272 in words is "three billion, four hundred sixty-two million, two hundred sixty-two thousand, two hundred seventy-two".