3482085862200 has 96 divisors (see below), whose sum is σ = 11775781301760. Its totient is φ = 844142025600.

The previous prime is 3482085862153. The next prime is 3482085862217. The reversal of 3482085862200 is 22685802843.

It is a self number, because there is not a number n which added to its sum of digits gives 3482085862200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263787784 + ... + 263800983.

It is an arithmetic number, because the mean of its divisors is an integer number (122664388560).

Almost surely, 2^{3482085862200} is an apocalyptic number.

3482085862200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3482085862200 is an abundant number, since it is smaller than the sum of its proper divisors (8293695439560).

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

3482085862200 is a wasteful number, since it uses less digits than its factorization.

3482085862200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527588797 (or 527588788 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 3482085862200 in words is "three trillion, four hundred eighty-two billion, eighty-five million, eight hundred sixty-two thousand, two hundred".