3482375052720 has 80 divisors (see below), whose sum is σ = 11143600192512. Its totient is φ = 898677431040.

The previous prime is 3482375052719. The next prime is 3482375052727. The reversal of 3482375052720 is 272505732843.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3482375052720.

It is not an unprimeable number, because it can be changed into a prime (3482375052727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234023142 + ... + 234038021.

Almost surely, 2^{3482375052720} is an apocalyptic number.

3482375052720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3482375052720 is an abundant number, since it is smaller than the sum of its proper divisors (7661225139792).

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

3482375052720 is a wasteful number, since it uses less digits than its factorization.

3482375052720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468061210 (or 468061204 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 3482375052720 in words is "three trillion, four hundred eighty-two billion, three hundred seventy-five million, fifty-two thousand, seven hundred twenty".