383629484340 has 192 divisors, whose sum is σ = 1227703921920. Its totient is φ = 99411079680.

The previous prime is 383629484311. The next prime is 383629484351. The reversal of 383629484340 is 43484926383.

383629484340 is a `hidden beast` number, since 3 + 8 + 3 + 6 + 294 + 8 + 4 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2663862 + ... + 2804178.

It is an arithmetic number, because the mean of its divisors is an integer number (6394291260).

Almost surely, 2^383629484340 is an apocalyptic number.

383629484340 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 383629484340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613851960960).

383629484340 is an abundant number, since it is smaller than the sum of its proper divisors (844074437580).

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

383629484340 is a wasteful number, since it uses less digits than its factorization.

383629484340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140479 (or 140471 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 383629484340 in words is "three hundred eighty-three billion, six hundred twenty-nine million, four hundred eighty-four thousand, three hundred forty".