3374085120 has 264 divisors, whose sum is σ = 12556527264. Its totient is φ = 771047424.

The previous prime is 3374085107. The next prime is 3374085137. The reversal of 3374085120 is 215804733.

It is a super-2 number, since 2×3374085120² = 22768900794010828800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750399 + ... + 754881.

Almost surely, 2^3374085120 is an apocalyptic number.

3374085120 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 3374085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6278263632).

3374085120 is an abundant number, since it is smaller than the sum of its proper divisors (9182442144).

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

3374085120 is a wasteful number, since it uses less digits than its factorization.

3374085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3374085120 is about 58086.8756260827. The cubic root of 3374085120 is about 1499.8644499734.

Adding to 3374085120 its reverse (215804733), we get a palindrome (3589889853).

The spelling of 3374085120 in words is "three billion, three hundred seventy-four million, eighty-five thousand, one hundred twenty".