3822182138880 has 1408 divisors, whose sum is σ = 15976425600000. Its totient is φ = 866174238720.

The previous prime is 3822182138861. The next prime is 3822182138891. The reversal of 3822182138880 is 888312812283.

3822182138880 is a `hidden beast` number, since 3 + 8 + 2 + 2 + 182 + 1 + 388 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7065031410 + ... + 7065031950.

Almost surely, 2^{3822182138880} is an apocalyptic number.

3822182138880 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 3822182138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988212800000).

3822182138880 is an abundant number, since it is smaller than the sum of its proper divisors (12154243461120).

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

3822182138880 is a wasteful number, since it uses less digits than its factorization.

3822182138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 3822182138880 in words is "three trillion, eight hundred twenty-two billion, one hundred eighty-two million, one hundred thirty-eight thousand, eight hundred eighty".