381924849600 has 1176 divisors, whose sum is σ = 1666864697760. Its totient is φ = 84234608640.

The previous prime is 381924849599. The next prime is 381924849619. The reversal of 381924849600 is 6948429183.

381924849600 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 24 + 8 + 4 + 9 + 600 = 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 167 ways as a sum of consecutive naturals, for example, 236778394 + ... + 236780006.

Almost surely, 2^381924849600 is an apocalyptic number.

381924849600 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 381924849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833432348880).

381924849600 is an abundant number, since it is smaller than the sum of its proper divisors (1284939848160).

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

381924849600 is a wasteful number, since it uses less digits than its factorization.

381924849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 381924849600 in words is "three hundred eighty-one billion, nine hundred twenty-four million, eight hundred forty-nine thousand, six hundred".