3413882430 has 256 divisors, whose sum is σ = 10727424000. Its totient is φ = 772208640.

The previous prime is 3413882419. The next prime is 3413882447. The reversal of 3413882430 is 342883143.

It is a happy number.

3413882430 is a `hidden beast` number, since 34 + 1 + 388 + 243 + 0 = 666.

It is a super-3 number, since 3×3413882430³ (a number of 30 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17688414 + ... + 17688606.

It is an arithmetic number, because the mean of its divisors is an integer number (41904000).

Almost surely, 2^3413882430 is an apocalyptic number.

3413882430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413882430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5363712000).

3413882430 is an abundant number, since it is smaller than the sum of its proper divisors (7313541570).

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

3413882430 is a wasteful number, since it uses less digits than its factorization.

3413882430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3413882430 is about 58428.4385380955. The cubic root of 3413882430 is about 1505.7383793411.

The spelling of 3413882430 in words is "three billion, four hundred thirteen million, eight hundred eighty-two thousand, four hundred thirty".