3426417120 has 144 divisors (see below), whose sum is σ = 12555457488. Its totient is φ = 783175680.

The previous prime is 3426417103. The next prime is 3426417139. The reversal of 3426417120 is 217146243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 49321 + ... + 96360.

It is an arithmetic number, because the mean of its divisors is an integer number (87190677).

Almost surely, 2^3426417120 is an apocalyptic number.

3426417120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3426417120 is an abundant number, since it is smaller than the sum of its proper divisors (9129040368).

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

3426417120 is a wasteful number, since it uses less digits than its factorization.

3426417120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145713 (or 145698 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3426417120 is about 58535.6055747269. The cubic root of 3426417120 is about 1507.5789925302.

The spelling of 3426417120 in words is "three billion, four hundred twenty-six million, four hundred seventeen thousand, one hundred twenty".