3290347008000 has 2080 divisors, whose sum is σ = 14026520027520. Its totient is φ = 760165171200.

The previous prime is 3290347007971. The next prime is 3290347008037. The reversal of 3290347008000 is 8007430923.

It is a tau number, because it is divible by the number of its divisors (2080).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9165311821 + ... + 9165312179.

It is an arithmetic number, because the mean of its divisors is an integer number (6743519244).

Almost surely, 2^{3290347008000} is an apocalyptic number.

3290347008000 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 3290347008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7013260013760).

3290347008000 is an abundant number, since it is smaller than the sum of its proper divisors (10736173019520).

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

3290347008000 is a wasteful number, since it uses less digits than its factorization.

3290347008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 3290347008000 in words is "three trillion, two hundred ninety billion, three hundred forty-seven million, eight thousand".