3414864096 has 480 divisors, whose sum is σ = 12294374400. Its totient is φ = 927666432.

The previous prime is 3414864043. The next prime is 3414864197. The reversal of 3414864096 is 6904684143.

3414864096 is a `hidden beast` number, since 3 + 41 + 486 + 40 + 96 = 666.

It is a super-2 number, since 2×3414864096² = 23322593588299794432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20448205 + ... + 20448371.

It is an arithmetic number, because the mean of its divisors is an integer number (25613280).

Almost surely, 2^3414864096 is an apocalyptic number.

3414864096 is a gapful number since it is divisible by the number (36) 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 3414864096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6147187200).

3414864096 is an abundant number, since it is smaller than the sum of its proper divisors (8879510304).

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

3414864096 is a wasteful number, since it uses less digits than its factorization.

3414864096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3414864096 is about 58436.8385181813. The cubic root of 3414864096 is about 1505.8826911371.

The spelling of 3414864096 in words is "three billion, four hundred fourteen million, eight hundred sixty-four thousand, ninety-six".