3406216968 has 384 divisors, whose sum is σ = 12720758400. Its totient is φ = 832204800.

The previous prime is 3406216967. The next prime is 3406216991. The reversal of 3406216968 is 8696126043.

3406216968 is a `hidden beast` number, since 340 + 6 + 216 + 96 + 8 = 666.

It is a super-2 number, since 2×3406216968² = 23204628066182226048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3406216967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1978348 + ... + 1980068.

It is an arithmetic number, because the mean of its divisors is an integer number (33126975).

Almost surely, 2^3406216968 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 3406216968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360379200).

3406216968 is an abundant number, since it is smaller than the sum of its proper divisors (9314541432).

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

3406216968 is a wasteful number, since it uses less digits than its factorization.

3406216968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3406216968 is about 58362.8046618735. The cubic root of 3406216968 is about 1504.6105500327.

The spelling of 3406216968 in words is "three billion, four hundred six million, two hundred sixteen thousand, nine hundred sixty-eight".