3213296640 has 264 divisors, whose sum is σ = 11237293080. Its totient is φ = 848953344.

The previous prime is 3213296623. The next prime is 3213296641. The reversal of 3213296640 is 466923123.

3213296640 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 2 + 9 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 834978816 + 2378317824 = 28896^2 + 48768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3213296595 and 3213296604.

It is not an unprimeable number, because it can be changed into a prime (3213296641) 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, 6312706 + ... + 6313214.

Almost surely, 2^3213296640 is an apocalyptic number.

3213296640 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 3213296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618646540).

3213296640 is an abundant number, since it is smaller than the sum of its proper divisors (8023996440).

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

3213296640 is a wasteful number, since it uses less digits than its factorization.

3213296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3213296640 is about 56685.9474649582. The cubic root of 3213296640 is about 1475.6508306625.

The spelling of 3213296640 in words is "three billion, two hundred thirteen million, two hundred ninety-six thousand, six hundred forty".