381716193600 has 1680 divisors, whose sum is σ = 1695139916800. Its totient is φ = 84130099200.

The previous prime is 381716193571. The next prime is 381716193623. The reversal of 381716193600 is 6391617183.

381716193600 is a `hidden beast` number, since 3 + 8 + 17 + 16 + 19 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1378036662 + ... + 1378036938.

Almost surely, 2^381716193600 is an apocalyptic number.

381716193600 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 381716193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847569958400).

381716193600 is an abundant number, since it is smaller than the sum of its proper divisors (1313423723200).

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

381716193600 is a wasteful number, since it uses less digits than its factorization.

381716193600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 381716193600 in words is "three hundred eighty-one billion, seven hundred sixteen million, one hundred ninety-three thousand, six hundred".