3213682560 has 768 divisors, whose sum is σ = 13186152000. Its totient is φ = 738017280.

The previous prime is 3213682559. The next prime is 3213682579. The reversal of 3213682560 is 652863123.

It is a happy number.

3213682560 is a `hidden beast` number, since 3 + 2 + 13 + 6 + 82 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60635494 + ... + 60635546.

Almost surely, 2^3213682560 is an apocalyptic number.

3213682560 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 3213682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6593076000).

3213682560 is an abundant number, since it is smaller than the sum of its proper divisors (9972469440).

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

3213682560 is a wasteful number, since it uses less digits than its factorization.

3213682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3213682560 is about 56689.3513810133. The cubic root of 3213682560 is about 1475.7099039897.

The spelling of 3213682560 in words is "three billion, two hundred thirteen million, six hundred eighty-two thousand, five hundred sixty".