382695373440 has 896 divisors, whose sum is σ = 1507469097600. Its totient is φ = 92428148736.

The previous prime is 382695373409. The next prime is 382695373441. The reversal of 382695373440 is 44373596283.

382695373440 is a `hidden beast` number, since 3 + 8 + 2 + 69 + 537 + 3 + 4 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (382695373441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 203885782 + ... + 203887658.

Almost surely, 2^382695373440 is an apocalyptic number.

382695373440 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 382695373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753734548800).

382695373440 is an abundant number, since it is smaller than the sum of its proper divisors (1124773724160).

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

382695373440 is a wasteful number, since it uses less digits than its factorization.

382695373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 382695373440 in words is "three hundred eighty-two billion, six hundred ninety-five million, three hundred seventy-three thousand, four hundred forty".