3274995360 has 288 divisors, whose sum is σ = 12924842112. Its totient is φ = 690923520.

The previous prime is 3274995349. The next prime is 3274995407. The reversal of 3274995360 is 635994723.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300405 + ... + 311115.

It is an arithmetic number, because the mean of its divisors is an integer number (44877924).

Almost surely, 2^3274995360 is an apocalyptic number.

3274995360 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 3274995360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462421056).

3274995360 is an abundant number, since it is smaller than the sum of its proper divisors (9649846752).

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

3274995360 is a wasteful number, since it uses less digits than its factorization.

3274995360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10756 (or 10741 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The square root of 3274995360 is about 57227.5751714154. The cubic root of 3274995360 is about 1485.0357075158.

The spelling of 3274995360 in words is "three billion, two hundred seventy-four million, nine hundred ninety-five thousand, three hundred sixty".