3414039168 has 256 divisors, whose sum is σ = 9962870400. Its totient is φ = 1032192000.

The previous prime is 3414039163. The next prime is 3414039191. The reversal of 3414039168 is 8619304143.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3414039163) 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, 30212680 + ... + 30212792.

Almost surely, 2^3414039168 is an apocalyptic number.

3414039168 is a gapful number since it is divisible by the number (38) 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 3414039168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981435200).

3414039168 is an abundant number, since it is smaller than the sum of its proper divisors (6548831232).

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

3414039168 is a wasteful number, since it uses less digits than its factorization.

3414039168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3414039168 is about 58429.7798044798. The cubic root of 3414039168 is about 1505.7614227836.

The spelling of 3414039168 in words is "three billion, four hundred fourteen million, thirty-nine thousand, one hundred sixty-eight".