383945616 has 160 divisors (see below), whose sum is σ = 1200816000. Its totient is φ = 116992512.

The previous prime is 383945603. The next prime is 383945623. The reversal of 383945616 is 616549383.

383945616 is a `hidden beast` number, since 3 + 83 + 9 + 4 + 561 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237226 + ... + 238838.

It is an arithmetic number, because the mean of its divisors is an integer number (7505100).

Almost surely, 2^383945616 is an apocalyptic number.

383945616 is a gapful number since it is divisible by the number (36) 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 383945616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600408000).

383945616 is an abundant number, since it is smaller than the sum of its proper divisors (816870384).

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

383945616 is a wasteful number, since it uses less digits than its factorization.

383945616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1666 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 383945616 is about 19594.5302571917. The cubic root of 383945616 is about 726.8139222190.

It can be divided in two parts, 3839 and 45616, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 383945616 in words is "three hundred eighty-three million, nine hundred forty-five thousand, six hundred sixteen".