3422096916480 has 816 divisors, whose sum is σ = 13424405065344. Its totient is φ = 829386915840.

The previous prime is 3422096916467. The next prime is 3422096916541. The reversal of 3422096916480 is 846196902243.

3422096916480 is a `hidden beast` number, since 3 + 42 + 20 + 96 + 9 + 16 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 875886687 + ... + 875890593.

Almost surely, 2^{3422096916480} is an apocalyptic number.

3422096916480 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 3422096916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6712202532672).

3422096916480 is an abundant number, since it is smaller than the sum of its proper divisors (10002308148864).

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

3422096916480 is an frugal number, since it uses more digits than its factorization.

3422096916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 3422096916480 in words is "three trillion, four hundred twenty-two billion, ninety-six million, nine hundred sixteen thousand, four hundred eighty".