3322774379520 has 2112 divisors, whose sum is σ = 13454862220800. Its totient is φ = 782566686720.

The previous prime is 3322774379503. The next prime is 3322774379521. The reversal of 3322774379520 is 259734772233.

3322774379520 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 7 + 7 + 43 + 79 + 520 = 666.

It is a super-2 number, since 2×3322774379520² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (3322774379521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25364689855 + ... + 25364689985.

It is an arithmetic number, because the mean of its divisors is an integer number (6370673400).

Almost surely, 2^{3322774379520} is an apocalyptic number.

3322774379520 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 3322774379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6727431110400).

3322774379520 is an abundant number, since it is smaller than the sum of its proper divisors (10132087841280).

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

3322774379520 is a wasteful number, since it uses less digits than its factorization.

3322774379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 54.

The spelling of 3322774379520 in words is "three trillion, three hundred twenty-two billion, seven hundred seventy-four million, three hundred seventy-nine thousand, five hundred twenty".