381009792 has 128 divisors (see below), whose sum is σ = 1047180960. Its totient is φ = 122683392.

The previous prime is 381009791. The next prime is 381009803. The reversal of 381009792 is 297900183.

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

It is a self number, because there is not a number n which added to its sum of digits gives 381009792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381009791) 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, 1974048 + ... + 1974240.

Almost surely, 2^381009792 is an apocalyptic number.

381009792 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 381009792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523590480).

381009792 is an abundant number, since it is smaller than the sum of its proper divisors (666171168).

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

381009792 is a wasteful number, since it uses less digits than its factorization.

381009792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 381009792 is about 19519.4721240099. The cubic root of 381009792 is about 724.9566629664.

The spelling of 381009792 in words is "three hundred eighty-one million, nine thousand, seven hundred ninety-two".