3290883120000 has 3840 divisors, whose sum is σ = 15692776704000. Its totient is φ = 673505280000.

The previous prime is 3290883119971. The next prime is 3290883120001. The reversal of 3290883120000 is 213880923.

It is a happy number.

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 (3290883120001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 55777679971 + ... + 55777680029.

It is an arithmetic number, because the mean of its divisors is an integer number (4086660600).

Almost surely, 2^{3290883120000} is an apocalyptic number.

3290883120000 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 3290883120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7846388352000).

3290883120000 is an abundant number, since it is smaller than the sum of its proper divisors (12401893584000).

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

3290883120000 is a wasteful number, since it uses less digits than its factorization.

3290883120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 3290883120000 in words is "three trillion, two hundred ninety billion, eight hundred eighty-three million, one hundred twenty thousand".