3413146968 has 192 divisors, whose sum is σ = 11672294400. Its totient is φ = 875197440.

The previous prime is 3413146963. The next prime is 3413146981. The reversal of 3413146968 is 8696413143.

3413146968 is a `hidden beast` number, since 3 + 413 + 146 + 96 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413146963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434080 + ... + 441872.

It is an arithmetic number, because the mean of its divisors is an integer number (60793200).

Almost surely, 2^3413146968 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 3413146968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836147200).

3413146968 is an abundant number, since it is smaller than the sum of its proper divisors (8259147432).

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

3413146968 is a wasteful number, since it uses less digits than its factorization.

3413146968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7902 (or 7895 counting only the distinct ones).

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

The square root of 3413146968 is about 58422.1445001808. The cubic root of 3413146968 is about 1505.6302431338.

The spelling of 3413146968 in words is "three billion, four hundred thirteen million, one hundred forty-six thousand, nine hundred sixty-eight".