3414828120 has 96 divisors (see below), whose sum is σ = 11260514160. Its totient is φ = 827833600.

The previous prime is 3414828089. The next prime is 3414828121. The reversal of 3414828120 is 218284143.

It is a super-2 number, since 2×3414828120² = 23322102178285468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414828121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103071 + ... + 132110.

Almost surely, 2^3414828120 is an apocalyptic number.

3414828120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3414828120 is an abundant number, since it is smaller than the sum of its proper divisors (7845686040).

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

3414828120 is a wasteful number, since it uses less digits than its factorization.

3414828120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235217 (or 235202 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 3414828120 is about 58436.5306978435. The cubic root of 3414828120 is about 1505.8774029007.

The spelling of 3414828120 in words is "three billion, four hundred fourteen million, eight hundred twenty-eight thousand, one hundred twenty".