3229074690480 has 480 divisors, whose sum is σ = 11991586239360. Its totient is φ = 775845396480.

The previous prime is 3229074690473. The next prime is 3229074690497. The reversal of 3229074690480 is 840964709223.

3229074690480 is a `hidden beast` number, since 3 + 2 + 2 + 9 + 0 + 74 + 6 + 90 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19607842 + ... + 19771838.

It is an arithmetic number, because the mean of its divisors is an integer number (24982471332).

Almost surely, 2^{3229074690480} is an apocalyptic number.

3229074690480 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 3229074690480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995793119680).

3229074690480 is an abundant number, since it is smaller than the sum of its proper divisors (8762511548880).

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

3229074690480 is a wasteful number, since it uses less digits than its factorization.

3229074690480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164109 (or 164100 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3229074690480 in words is "three trillion, two hundred twenty-nine billion, seventy-four million, six hundred ninety thousand, four hundred eighty".