3290084542080 has 1792 divisors, whose sum is σ = 14580228268800. Its totient is φ = 692700512256.

The previous prime is 3290084542037. The next prime is 3290084542123. The reversal of 3290084542080 is 802454800923.

3290084542080 is a `hidden beast` number, since 3 + 29 + 0 + 0 + 8 + 4 + 542 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3290084542037) and next prime (3290084542123).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2295941044 + ... + 2295942476.

Almost surely, 2^{3290084542080} is an apocalyptic number.

3290084542080 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 3290084542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7290114134400).

3290084542080 is an abundant number, since it is smaller than the sum of its proper divisors (11290143726720).

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

3290084542080 is a wasteful number, since it uses less digits than its factorization.

3290084542080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 3290084542080 in words is "three trillion, two hundred ninety billion, eighty-four million, five hundred forty-two thousand, eighty".