3209940264960 has 2688 divisors, whose sum is σ = 14148508308480. Its totient is φ = 687970713600.

The previous prime is 3209940264833. The next prime is 3209940265009. The reversal of 3209940264960 is 694620499023.

3209940264960 is a `hidden beast` number, since 3 + 2 + 0 + 99 + 40 + 26 + 496 + 0 = 666.

It is a super-2 number, since 2×3209940264960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3209940264897 and 3209940264906.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 33092167632 + ... + 33092167728.

It is an arithmetic number, because the mean of its divisors is an integer number (5263581960).

Almost surely, 2^{3209940264960} is an apocalyptic number.

3209940264960 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 3209940264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7074254154240).

3209940264960 is an abundant number, since it is smaller than the sum of its proper divisors (10938568043520).

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

3209940264960 is a wasteful number, since it uses less digits than its factorization.

3209940264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 3209940264960 in words is "three trillion, two hundred nine billion, nine hundred forty million, two hundred sixty-four thousand, nine hundred sixty".