3413128320 has 768 divisors, whose sum is σ = 14651280000. Its totient is φ = 747823104.

The previous prime is 3413128319. The next prime is 3413128333. The reversal of 3413128320 is 238213143.

3413128320 is a `hidden beast` number, since 341 + 312 + 8 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24554811 + ... + 24554949.

Almost surely, 2^3413128320 is an apocalyptic number.

3413128320 is a gapful number since it is divisible by the number (30) 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 3413128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325640000).

3413128320 is an abundant number, since it is smaller than the sum of its proper divisors (11238151680).

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

3413128320 is a wasteful number, since it uses less digits than its factorization.

3413128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3413128320 is about 58421.9849029456. The cubic root of 3413128320 is about 1505.6275010853.

The spelling of 3413128320 in words is "three billion, four hundred thirteen million, one hundred twenty-eight thousand, three hundred twenty".