3482402294280 has 512 divisors, whose sum is σ = 13286994739200. Its totient is φ = 710290944000.

The previous prime is 3482402294279. The next prime is 3482402294297. The reversal of 3482402294280 is 824922042843.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 351717330 + ... + 351727230.

It is an arithmetic number, because the mean of its divisors is an integer number (25951161600).

Almost surely, 2^{3482402294280} is an apocalyptic number.

3482402294280 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 3482402294280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643497369600).

3482402294280 is an abundant number, since it is smaller than the sum of its proper divisors (9804592444920).

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

3482402294280 is a wasteful number, since it uses less digits than its factorization.

3482402294280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11005 (or 11001 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 3482402294280 in words is "three trillion, four hundred eighty-two billion, four hundred two million, two hundred ninety-four thousand, two hundred eighty".