3795142469184 has 448 divisors, whose sum is σ = 12620475648000. Its totient is φ = 1107786516480.

The previous prime is 3795142469159. The next prime is 3795142469197. The reversal of 3795142469184 is 4819642415973.

3795142469184 is a `hidden beast` number, since 3 + 7 + 9 + 51 + 42 + 469 + 1 + 84 = 666.

It is a super-2 number, since 2×3795142469184² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241983007 + ... + 241998689.

Almost surely, 2^{3795142469184} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3795142469184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310237824000).

3795142469184 is an abundant number, since it is smaller than the sum of its proper divisors (8825333178816).

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

3795142469184 is a wasteful number, since it uses less digits than its factorization.

3795142469184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16183 (or 16167 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 3795142469184 in words is "three trillion, seven hundred ninety-five billion, one hundred forty-two million, four hundred sixty-nine thousand, one hundred eighty-four".