383946780 has 192 divisors, whose sum is σ = 1304174592. Its totient is φ = 82529280.

The previous prime is 383946727. The next prime is 383946803. The reversal of 383946780 is 87649383.

It is a super-3 number, since 3×383946780³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 481342 + ... + 482138.

It is an arithmetic number, because the mean of its divisors is an integer number (6792576).

Almost surely, 2^383946780 is an apocalyptic number.

383946780 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 383946780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652087296).

383946780 is an abundant number, since it is smaller than the sum of its proper divisors (920227812).

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

383946780 is a wasteful number, since it uses less digits than its factorization.

383946780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 383946780 is about 19594.5599593357. The cubic root of 383946780 is about 726.8146567072.

The spelling of 383946780 in words is "three hundred eighty-three million, nine hundred forty-six thousand, seven hundred eighty".