3775844160000 has 4000 divisors, whose sum is σ = 17540625453120. Its totient is φ = 796262400000.

The previous prime is 3775844159933. The next prime is 3775844160007. The reversal of 3775844160000 is 614485773.

3775844160000 is a `hidden beast` number, since 3 + 7 + 7 + 584 + 4 + 1 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4000).

It is a super-2 number, since 2×3775844160000² (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 not an unprimeable number, because it can be changed into a prime (3775844160007) by changing a digit.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 92093759980 + ... + 92093760020.

Almost surely, 2^{3775844160000} is an apocalyptic number.

3775844160000 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 3775844160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8770312726560).

3775844160000 is an abundant number, since it is smaller than the sum of its proper divisors (13764781293120).

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

3775844160000 is a wasteful number, since it uses less digits than its factorization.

3775844160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 3775844160000 in words is "three trillion, seven hundred seventy-five billion, eight hundred forty-four million, one hundred sixty thousand".