381192064 has 128 divisors (see below), whose sum is σ = 881280000. Its totient is φ = 162539520.

The previous prime is 381192061. The next prime is 381192131. The reversal of 381192064 is 460291183.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381192061) 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, 2558262 + ... + 2558410.

It is an arithmetic number, because the mean of its divisors is an integer number (6885000).

Almost surely, 2^381192064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381192064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640000).

381192064 is an abundant number, since it is smaller than the sum of its proper divisors (500087936).

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

381192064 is a wasteful number, since it uses less digits than its factorization.

381192064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 381192064 is about 19524.1405444644. The cubic root of 381192064 is about 725.0722490028.

The spelling of 381192064 in words is "three hundred eighty-one million, one hundred ninety-two thousand, sixty-four".