3612583165440 has 320 divisors, whose sum is σ = 12090039616512. Its totient is φ = 918493593600.

The previous prime is 3612583165427. The next prime is 3612583165531. The reversal of 3612583165440 is 445613852163.

It is a tau number, because it is divible by the number of its divisors (320).

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 3612583165440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54902160 + ... + 54967920.

Almost surely, 2^{3612583165440} is an apocalyptic number.

3612583165440 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 3612583165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6045019808256).

3612583165440 is an abundant number, since it is smaller than the sum of its proper divisors (8477456451072).

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

3612583165440 is a wasteful number, since it uses less digits than its factorization.

3612583165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66121 (or 66105 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 3612583165440 in words is "three trillion, six hundred twelve billion, five hundred eighty-three million, one hundred sixty-five thousand, four hundred forty".