3474382968 has 192 divisors, whose sum is σ = 11070259200. Its totient is φ = 963740160.

The previous prime is 3474382897. The next prime is 3474382987. The reversal of 3474382968 is 8692834743.

3474382968 is a `hidden beast` number, since 3 + 474 + 3 + 82 + 96 + 8 = 666.

3474382968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 7914093 + ... + 7914531.

It is an arithmetic number, because the mean of its divisors is an integer number (57657600).

Almost surely, 2^3474382968 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 3474382968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535129600).

3474382968 is an abundant number, since it is smaller than the sum of its proper divisors (7595876232).

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

3474382968 is a wasteful number, since it uses less digits than its factorization.

3474382968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 875 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 3474382968 is about 58943.8967832973. The cubic root of 3474382968 is about 1514.5812024122.

It can be divided in two parts, 34743 and 82968, that added together give a palindrome (117711).

The spelling of 3474382968 in words is "three billion, four hundred seventy-four million, three hundred eighty-two thousand, nine hundred sixty-eight".