381696600 has 96 divisors (see below), whose sum is σ = 1186441920. Its totient is φ = 101512320.

The previous prime is 381696589. The next prime is 381696607. The reversal of 381696600 is 6696183.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381696607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327619 + ... + 328781.

It is an arithmetic number, because the mean of its divisors is an integer number (12358770).

Almost surely, 2^381696600 is an apocalyptic number.

381696600 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 381696600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593220960).

381696600 is an abundant number, since it is smaller than the sum of its proper divisors (804745320).

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

381696600 is a wasteful number, since it uses less digits than its factorization.

381696600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 381696600 is about 19537.0570967073. The cubic root of 381696600 is about 725.3920036239.

The spelling of 381696600 in words is "three hundred eighty-one million, six hundred ninety-six thousand, six hundred".