381182772000 has 768 divisors, whose sum is σ = 1392112770048. Its totient is φ = 90688716800.

The previous prime is 381182771903. The next prime is 381182772001. The reversal of 381182772000 is 277281183.

It is a self number, because there is not a number n which added to its sum of digits gives 381182772000.

It is not an unprimeable number, because it can be changed into a prime (381182772001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 642803704 + ... + 642804296.

It is an arithmetic number, because the mean of its divisors is an integer number (1812646836).

Almost surely, 2^381182772000 is an apocalyptic number.

381182772000 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 381182772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696056385024).

381182772000 is an abundant number, since it is smaller than the sum of its proper divisors (1010929998048).

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

381182772000 is a wasteful number, since it uses less digits than its factorization.

381182772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 381182772000 in words is "three hundred eighty-one billion, one hundred eighty-two million, seven hundred seventy-two thousand".