381156720 has 160 divisors (see below), whose sum is σ = 1421575680. Its totient is φ = 82529280.

The previous prime is 381156719. The next prime is 381156733. The reversal of 381156720 is 27651183.

It is a super-3 number, since 3×381156720³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25950 + ... + 37890.

It is an arithmetic number, because the mean of its divisors is an integer number (8884848).

Almost surely, 2^381156720 is an apocalyptic number.

381156720 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 381156720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710787840).

381156720 is an abundant number, since it is smaller than the sum of its proper divisors (1040418960).

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

381156720 is a wasteful number, since it uses less digits than its factorization.

381156720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11983 (or 11977 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 381156720 is about 19523.2353876093. The cubic root of 381156720 is about 725.0498388251.

The spelling of 381156720 in words is "three hundred eighty-one million, one hundred fifty-six thousand, seven hundred twenty".