3828183194880 has 1728 divisors, whose sum is σ = 15467587559424. Its totient is φ = 865492992000.

The previous prime is 3828183194879. The next prime is 3828183194951. The reversal of 3828183194880 is 884913818283.

3828183194880 is a `hidden beast` number, since 38 + 281 + 8 + 319 + 4 + 8 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22128226474 + ... + 22128226646.

It is an arithmetic number, because the mean of its divisors is an integer number (8951150208).

Almost surely, 2^{3828183194880} is an apocalyptic number.

3828183194880 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 3828183194880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7733793779712).

3828183194880 is an abundant number, since it is smaller than the sum of its proper divisors (11639404364544).

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

3828183194880 is a wasteful number, since it uses less digits than its factorization.

3828183194880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 3828183194880 in words is "three trillion, eight hundred twenty-eight billion, one hundred eighty-three million, one hundred ninety-four thousand, eight hundred eighty".