381681300 has 576 divisors, whose sum is σ = 1567899648. Its totient is φ = 69120000.

The previous prime is 381681271. The next prime is 381681301. The reversal of 381681300 is 3186183.

It is a super-2 number, since 2×381681300² = 291361229539380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381681301) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9309280 + ... + 9309320.

It is an arithmetic number, because the mean of its divisors is an integer number (2722048).

Almost surely, 2^381681300 is an apocalyptic number.

381681300 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 381681300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783949824).

381681300 is an abundant number, since it is smaller than the sum of its proper divisors (1186218348).

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

381681300 is a wasteful number, since it uses less digits than its factorization.

381681300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 381681300 is about 19536.6655292043. The cubic root of 381681300 is about 725.3823112435.

The spelling of 381681300 in words is "three hundred eighty-one million, six hundred eighty-one thousand, three hundred".