3371667120 has 400 divisors, whose sum is σ = 12548625408. Its totient is φ = 836075520.

The previous prime is 3371667119. The next prime is 3371667121. The reversal of 3371667120 is 217661733.

It is an interprime number because it is at equal distance from previous prime (3371667119) and next prime (3371667121).

It is a super-2 number, since 2×3371667120² = 22736278336178188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3371667121) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 13990200 + ... + 13990440.

Almost surely, 2^3371667120 is an apocalyptic number.

3371667120 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 3371667120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274312704).

3371667120 is an abundant number, since it is smaller than the sum of its proper divisors (9176958288).

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

3371667120 is a wasteful number, since it uses less digits than its factorization.

3371667120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3371667120 is about 58066.0582440379. The cubic root of 3371667120 is about 1499.5060773781.

The spelling of 3371667120 in words is "three billion, three hundred seventy-one million, six hundred sixty-seven thousand, one hundred twenty".