3280422000960 has 1344 divisors, whose sum is σ = 13128604070400. Its totient is φ = 745381232640.

The previous prime is 3280422000917. The next prime is 3280422000967. The reversal of 3280422000960 is 690002240823.

3280422000960 is a `hidden beast` number, since 328 + 0 + 42 + 200 + 0 + 96 + 0 = 666.

It is a super-2 number, since 2×3280422000960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3280422000967) 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, 4747354215 + ... + 4747354905.

It is an arithmetic number, because the mean of its divisors is an integer number (9768306600).

Almost surely, 2^{3280422000960} is an apocalyptic number.

3280422000960 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 3280422000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6564302035200).

3280422000960 is an abundant number, since it is smaller than the sum of its proper divisors (9848182069440).

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

3280422000960 is a wasteful number, since it uses less digits than its factorization.

3280422000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3280422000960 in words is "three trillion, two hundred eighty billion, four hundred twenty-two million, nine hundred sixty", and thus it is an aban number.