3274951680 has 1056 divisors, whose sum is σ = 15450559488. Its totient is φ = 619315200.

The previous prime is 3274951679. The next prime is 3274951699. The reversal of 3274951680 is 861594723.

3274951680 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1056).

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

3274951680 is strictly pandigital in base 10.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46126045 + ... + 46126115.

It is a 1-persistent number, because it is pandigital, but 2⋅3274951680 = 6549903360 is not.

Almost surely, 2^3274951680 is an apocalyptic number.

3274951680 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 3274951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7725279744).

3274951680 is an abundant number, since it is smaller than the sum of its proper divisors (12175607808).

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

3274951680 is a wasteful number, since it uses less digits than its factorization.

3274951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3274951680 is about 57227.1935359406. The cubic root of 3274951680 is about 1485.0291053031.

The spelling of 3274951680 in words is "three billion, two hundred seventy-four million, nine hundred fifty-one thousand, six hundred eighty".