3264310080 has 336 divisors, whose sum is σ = 12094275024. Its totient is φ = 805109760.

The previous prime is 3264310073. The next prime is 3264310103. The reversal of 3264310080 is 800134623.

It is a happy number.

3264310080 is a `hidden beast` number, since 3 + 2 + 643 + 10 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37161216 + 3227148864 = 6096^2 + 56808^2 .

It is a congruent number.

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, 2986014 + ... + 2987106.

Almost surely, 2^3264310080 is an apocalyptic number.

3264310080 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 3264310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047137512).

3264310080 is an abundant number, since it is smaller than the sum of its proper divisors (8829964944).

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

3264310080 is a wasteful number, since it uses less digits than its factorization.

3264310080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3264310080 is about 57134.1411066973. The cubic root of 3264310080 is about 1483.4188796628.

The spelling of 3264310080 in words is "three billion, two hundred sixty-four million, three hundred ten thousand, eighty".