3546635440320 has 560 divisors, whose sum is σ = 14522124798720. Its totient is φ = 804821723136.

The previous prime is 3546635440303. The next prime is 3546635440331. The reversal of 3546635440320 is 230445366453.

3546635440320 is a `hidden beast` number, since 3 + 5 + 4 + 6 + 635 + 4 + 4 + 0 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25149847 + ... + 25290473.

It is an arithmetic number, because the mean of its divisors is an integer number (25932365712).

Almost surely, 2^{3546635440320} is an apocalyptic number.

3546635440320 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 3546635440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7261062399360).

3546635440320 is an abundant number, since it is smaller than the sum of its proper divisors (10975489358400).

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

3546635440320 is a wasteful number, since it uses less digits than its factorization.

3546635440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140802 (or 140783 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 3546635440320 in words is "three trillion, five hundred forty-six billion, six hundred thirty-five million, four hundred forty thousand, three hundred twenty".