3811424827392 has 768 divisors, whose sum is σ = 13928713344000. Its totient is φ = 1002834100224.

The previous prime is 3811424827381. The next prime is 3811424827393. The reversal of 3811424827392 is 2937284241183.

3811424827392 is a `hidden beast` number, since 3 + 8 + 1 + 1 + 4 + 2 + 482 + 73 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3811424827393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3436811734 + ... + 3436812842.

It is an arithmetic number, because the mean of its divisors is an integer number (18136345500).

Almost surely, 2^{3811424827392} is an apocalyptic number.

3811424827392 is a gapful number since it is divisible by the number (32) 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 3811424827392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964356672000).

3811424827392 is an abundant number, since it is smaller than the sum of its proper divisors (10117288516608).

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

3811424827392 is a wasteful number, since it uses less digits than its factorization.

3811424827392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1817 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 3811424827392 in words is "three trillion, eight hundred eleven billion, four hundred twenty-four million, eight hundred twenty-seven thousand, three hundred ninety-two".