3274745760 has 1152 divisors, whose sum is σ = 14793891840. Its totient is φ = 671846400.

The previous prime is 3274745759. The next prime is 3274745767. The reversal of 3274745760 is 675474723.

3274745760 is a `hidden beast` number, since 3 + 2 + 7 + 4 + 74 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3274745767) 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 191 ways as a sum of consecutive naturals, for example, 105636945 + ... + 105636975.

It is an arithmetic number, because the mean of its divisors is an integer number (12841920).

Almost surely, 2^3274745760 is an apocalyptic number.

3274745760 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 3274745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7396945920).

3274745760 is an abundant number, since it is smaller than the sum of its proper divisors (11519146080).

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

3274745760 is a wasteful number, since it uses less digits than its factorization.

3274745760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The square root of 3274745760 is about 57225.3943629924. The cubic root of 3274745760 is about 1484.9979797952.

The spelling of 3274745760 in words is "three billion, two hundred seventy-four million, seven hundred forty-five thousand, seven hundred sixty".