383265128376 has 192 divisors, whose sum is σ = 1127350224000. Its totient is φ = 116930580480.

The previous prime is 383265128293. The next prime is 383265128387. The reversal of 383265128376 is 673821562383.

It is a happy number.

383265128376 is a `hidden beast` number, since 3 + 8 + 3 + 265 + 1 + 2 + 8 + 376 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53909110 + ... + 53916218.

It is an arithmetic number, because the mean of its divisors is an integer number (5871615750).

Almost surely, 2^383265128376 is an apocalyptic number.

383265128376 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 383265128376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563675112000).

383265128376 is an abundant number, since it is smaller than the sum of its proper divisors (744085095624).

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

383265128376 is a wasteful number, since it uses less digits than its factorization.

383265128376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614 (or 7607 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 383265128376 in words is "three hundred eighty-three billion, two hundred sixty-five million, one hundred twenty-eight thousand, three hundred seventy-six".