3274629120 has 672 divisors, whose sum is σ = 13739701248. Its totient is φ = 732561408.

The previous prime is 3274629089. The next prime is 3274629187. The reversal of 3274629120 is 219264723.

3274629120 is a `hidden beast` number, since 3 + 2 + 7 + 4 + 629 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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 47 ways as a sum of consecutive naturals, for example, 69672937 + ... + 69672983.

It is an arithmetic number, because the mean of its divisors is an integer number (20445984).

Almost surely, 2^3274629120 is an apocalyptic number.

3274629120 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 3274629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6869850624).

3274629120 is an abundant number, since it is smaller than the sum of its proper divisors (10465072128).

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

3274629120 is an frugal number, since it uses more digits than its factorization.

3274629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3274629120 is about 57224.3752259472. The cubic root of 3274629120 is about 1484.9803486839.

The spelling of 3274629120 in words is "three billion, two hundred seventy-four million, six hundred twenty-nine thousand, one hundred twenty".