3322461272000 has 224 divisors, whose sum is σ = 8882168777664. Its totient is φ = 1223824896000.

The previous prime is 3322461271991. The next prime is 3322461272017. The reversal of 3322461272000 is 2721642233.

It is a super-2 number, since 2×3322461272000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43746059 + ... + 43821941.

It is an arithmetic number, because the mean of its divisors is an integer number (39652539186).

Almost surely, 2^{3322461272000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3322461272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441084388832).

3322461272000 is an abundant number, since it is smaller than the sum of its proper divisors (5559707505664).

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

3322461272000 is a wasteful number, since it uses less digits than its factorization.

3322461272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76344 (or 76324 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The spelling of 3322461272000 in words is "three trillion, three hundred twenty-two billion, four hundred sixty-one million, two hundred seventy-two thousand".