3306640267920 has 240 divisors, whose sum is σ = 11341803828096. Its totient is φ = 796300032000.

The previous prime is 3306640267837. The next prime is 3306640267921. The reversal of 3306640267920 is 297620466033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3306640267920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3306640267920.

It is not an unprimeable number, because it can be changed into a prime (3306640267921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4008004 + ... + 4762076.

Almost surely, 2^{3306640267920} is an apocalyptic number.

3306640267920 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 3306640267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670901914048).

3306640267920 is an abundant number, since it is smaller than the sum of its proper divisors (8035163560176).

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

3306640267920 is a wasteful number, since it uses less digits than its factorization.

3306640267920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754262 (or 754245 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 48.

The spelling of 3306640267920 in words is "three trillion, three hundred six billion, six hundred forty million, two hundred sixty-seven thousand, nine hundred twenty".