3482990189280 has 2688 divisors, whose sum is σ = 16106263326720. Its totient is φ = 692270530560.

The previous prime is 3482990189267. The next prime is 3482990189281. The reversal of 3482990189280 is 829810992843.

It is a happy number.

3482990189280 is a `hidden beast` number, since 348 + 2 + 9 + 9 + 0 + 1 + 8 + 9 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3482990189281) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 12394982740 + ... + 12394983020.

It is an arithmetic number, because the mean of its divisors is an integer number (5991913440).

Almost surely, 2^{3482990189280} is an apocalyptic number.

3482990189280 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 3482990189280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8053131663360).

3482990189280 is an abundant number, since it is smaller than the sum of its proper divisors (12623273137440).

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

3482990189280 is a wasteful number, since it uses less digits than its factorization.

3482990189280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 3482990189280 in words is "three trillion, four hundred eighty-two billion, nine hundred ninety million, one hundred eighty-nine thousand, two hundred eighty".