381901680 has 120 divisors (see below), whose sum is σ = 1292662800. Its totient is φ = 101038080.

The previous prime is 381901669. The next prime is 381901711. The reversal of 381901680 is 86109183.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92296 + ... + 96344.

It is an arithmetic number, because the mean of its divisors is an integer number (10772190).

Almost surely, 2^381901680 is an apocalyptic number.

381901680 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 381901680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646331400).

381901680 is an abundant number, since it is smaller than the sum of its proper divisors (910761120).

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

381901680 is a wasteful number, since it uses less digits than its factorization.

381901680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 381901680 is about 19542.3048794148. The cubic root of 381901680 is about 725.5218945348.

The spelling of 381901680 in words is "three hundred eighty-one million, nine hundred one thousand, six hundred eighty".