380282806890 has 384 divisors, whose sum is σ = 1169493811200. Its totient is φ = 85692297600.

The previous prime is 380282806879. The next prime is 380282806913. The reversal of 380282806890 is 98608282083.

It is a super-2 number, since 2×380282806890² (a number of 24 digits) contains 22 as substring.

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, 1095915697 + ... + 1095916043.

It is an arithmetic number, because the mean of its divisors is an integer number (3045556800).

Almost surely, 2^380282806890 is an apocalyptic number.

380282806890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 380282806890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584746905600).

380282806890 is an abundant number, since it is smaller than the sum of its proper divisors (789211004310).

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

380282806890 is a wasteful number, since it uses less digits than its factorization.

380282806890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 380282806890 in words is "three hundred eighty billion, two hundred eighty-two million, eight hundred six thousand, eight hundred ninety".