381989260800 has 1800 divisors, whose sum is σ = 1683304221456. Its totient is φ = 85279703040.

The previous prime is 381989260787. The next prime is 381989260811. The reversal of 381989260800 is 8062989183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-3 number, since 3×381989260800³ (a number of 36 digits) contains 333 as substring.

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 179 ways as a sum of consecutive naturals, for example, 3708633549 + ... + 3708633651.

Almost surely, 2^381989260800 is an apocalyptic number.

381989260800 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 381989260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841652110728).

381989260800 is an abundant number, since it is smaller than the sum of its proper divisors (1301314960656).

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

381989260800 is a wasteful number, since it uses less digits than its factorization.

381989260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 381989260800 in words is "three hundred eighty-one billion, nine hundred eighty-nine million, two hundred sixty thousand, eight hundred".