382749696000 has 1344 divisors, whose sum is σ = 1674526089600. Its totient is φ = 82103500800.

The previous prime is 382749695969. The next prime is 382749696037. The reversal of 382749696000 is 696947283.

It is a happy number.

382749696000 is a `hidden beast` number, since 3 + 8 + 27 + 4 + 9 + 6 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1096703826 + ... + 1096704174.

It is an arithmetic number, because the mean of its divisors is an integer number (1245927150).

Almost surely, 2^382749696000 is an apocalyptic number.

382749696000 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 382749696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837263044800).

382749696000 is an abundant number, since it is smaller than the sum of its proper divisors (1291776393600).

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

382749696000 is a wasteful number, since it uses less digits than its factorization.

382749696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 382749696000 in words is "three hundred eighty-two billion, seven hundred forty-nine million, six hundred ninety-six thousand".