3802045224960 has 576 divisors, whose sum is σ = 13723816055040. Its totient is φ = 972407439360.

The previous prime is 3802045224947. The next prime is 3802045225021. The reversal of 3802045224960 is 694225402083.

3802045224960 is a `hidden beast` number, since 3 + 8 + 0 + 20 + 4 + 522 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3802045224960² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322830592 + ... + 322842368.

It is an arithmetic number, because the mean of its divisors is an integer number (23826069540).

Almost surely, 2^{3802045224960} is an apocalyptic number.

3802045224960 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 3802045224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6861908027520).

3802045224960 is an abundant number, since it is smaller than the sum of its proper divisors (9921770830080).

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

3802045224960 is a wasteful number, since it uses less digits than its factorization.

3802045224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11954 (or 11931 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3802045224960 in words is "three trillion, eight hundred two billion, forty-five million, two hundred twenty-four thousand, nine hundred sixty".