3483499952640 has 640 divisors, whose sum is σ = 12327256719360. Its totient is φ = 834702409728.

The previous prime is 3483499952633. The next prime is 3483499952689. The reversal of 3483499952640 is 462599943843.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2723611521 + ... + 2723612799.

It is an arithmetic number, because the mean of its divisors is an integer number (19261338624).

Almost surely, 2^{3483499952640} is an apocalyptic number.

3483499952640 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 3483499952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6163628359680).

3483499952640 is an abundant number, since it is smaller than the sum of its proper divisors (8843756766720).

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

3483499952640 is a wasteful number, since it uses less digits than its factorization.

3483499952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 66.

The spelling of 3483499952640 in words is "three trillion, four hundred eighty-three billion, four hundred ninety-nine million, nine hundred fifty-two thousand, six hundred forty".