382733733756 has 192 divisors, whose sum is σ = 1084415754240. Its totient is φ = 103737024000.

The previous prime is 382733733751. The next prime is 382733733763. The reversal of 382733733756 is 657337337283.

It is a super-2 number, since 2×382733733756² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 382733733696 and 382733733705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382733733751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3127635 + ... + 3247701.

It is an arithmetic number, because the mean of its divisors is an integer number (5647998720).

Almost surely, 2^382733733756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382733733756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542207877120).

382733733756 is an abundant number, since it is smaller than the sum of its proper divisors (701682020484).

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

382733733756 is a wasteful number, since it uses less digits than its factorization.

382733733756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120176 (or 120174 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 57.

The spelling of 382733733756 in words is "three hundred eighty-two billion, seven hundred thirty-three million, seven hundred thirty-three thousand, seven hundred fifty-six".