381666600 has 384 divisors, whose sum is σ = 1571328000. Its totient is φ = 83255040.

The previous prime is 381666599. The next prime is 381666601. The reversal of 381666600 is 6666183.

It is an interprime number because it is at equal distance from previous prime (381666599) and next prime (381666601).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (381666601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 869181 + ... + 869619.

It is an arithmetic number, because the mean of its divisors is an integer number (4092000).

Almost surely, 2^381666600 is an apocalyptic number.

381666600 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 381666600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785664000).

381666600 is an abundant number, since it is smaller than the sum of its proper divisors (1189661400).

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

381666600 is a wasteful number, since it uses less digits than its factorization.

381666600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 381666600 is about 19536.2893098971. The cubic root of 381666600 is about 725.3729987124.

The spelling of 381666600 in words is "three hundred eighty-one million, six hundred sixty-six thousand, six hundred".