3822119239680 has 1680 divisors, whose sum is σ = 16173178850304. Its totient is φ = 848497213440.

The previous prime is 3822119239583. The next prime is 3822119239699. The reversal of 3822119239680 is 869329112283.

3822119239680 is a `hidden beast` number, since 3 + 82 + 2 + 11 + 92 + 396 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17139548049 + ... + 17139548271.

Almost surely, 2^{3822119239680} is an apocalyptic number.

3822119239680 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 3822119239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8086589425152).

3822119239680 is an abundant number, since it is smaller than the sum of its proper divisors (12351059610624).

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

3822119239680 is an frugal number, since it uses more digits than its factorization.

3822119239680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 3822119239680 in words is "three trillion, eight hundred twenty-two billion, one hundred nineteen million, two hundred thirty-nine thousand, six hundred eighty".