381667680 has 192 divisors, whose sum is σ = 1414687680. Its totient is φ = 95772672.

The previous prime is 381667621. The next prime is 381667703. The reversal of 381667680 is 86766183.

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 31 ways as a sum of consecutive naturals, for example, 70842 + ... + 76038.

It is an arithmetic number, because the mean of its divisors is an integer number (7368165).

Almost surely, 2^381667680 is an apocalyptic number.

381667680 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 381667680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707343840).

381667680 is an abundant number, since it is smaller than the sum of its proper divisors (1033020000).

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

381667680 is a wasteful number, since it uses less digits than its factorization.

381667680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5238 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 381667680 is about 19536.3169507459. The cubic root of 381667680 is about 725.3736829065.

The spelling of 381667680 in words is "three hundred eighty-one million, six hundred sixty-seven thousand, six hundred eighty".