381772512 has 144 divisors (see below), whose sum is σ = 1216745712. Its totient is φ = 112527360.

The previous prime is 381772507. The next prime is 381772513. The reversal of 381772512 is 215277183.

381772512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381772513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115588 + ... + 118844.

It is an arithmetic number, because the mean of its divisors is an integer number (8449623).

Almost surely, 2^381772512 is an apocalyptic number.

381772512 is a gapful number since it is divisible by the number (32) 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 381772512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608372856).

381772512 is an abundant number, since it is smaller than the sum of its proper divisors (834973200).

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

381772512 is a wasteful number, since it uses less digits than its factorization.

381772512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3310 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 381772512 is about 19538.9997696914. Note that the first 3 decimals coincide. The cubic root of 381772512 is about 725.4400892043.

The spelling of 381772512 in words is "three hundred eighty-one million, seven hundred seventy-two thousand, five hundred twelve".