3274673760 has 144 divisors (see below), whose sum is σ = 11660804064. Its totient is φ = 835270656.

The previous prime is 3274673719. The next prime is 3274673761. The reversal of 3274673760 is 673764723.

3274673760 is a `hidden beast` number, since 3 + 274 + 6 + 7 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (3274673761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16317 + ... + 82556.

It is an arithmetic number, because the mean of its divisors is an integer number (80977806).

Almost surely, 2^3274673760 is an apocalyptic number.

3274673760 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 3274673760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5830402032).

3274673760 is an abundant number, since it is smaller than the sum of its proper divisors (8386130304).

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

3274673760 is a wasteful number, since it uses less digits than its factorization.

3274673760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98917 (or 98906 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 45.

The square root of 3274673760 is about 57224.7652681949. The cubic root of 3274673760 is about 1484.9870964427.

The spelling of 3274673760 in words is "three billion, two hundred seventy-four million, six hundred seventy-three thousand, seven hundred sixty".