381873120 has 96 divisors (see below), whose sum is σ = 1228566528. Its totient is φ = 99660288.

The previous prime is 381873119. The next prime is 381873127. The reversal of 381873120 is 21378183.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381873127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14097 + ... + 31023.

It is an arithmetic number, because the mean of its divisors is an integer number (12797568).

Almost surely, 2^381873120 is an apocalyptic number.

381873120 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 381873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614283264).

381873120 is an abundant number, since it is smaller than the sum of its proper divisors (846693408).

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

381873120 is a wasteful number, since it uses less digits than its factorization.

381873120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16992 (or 16984 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 381873120 is about 19541.5741433488. The cubic root of 381873120 is about 725.5038083598.

The spelling of 381873120 in words is "three hundred eighty-one million, eight hundred seventy-three thousand, one hundred twenty".