381649968 has 240 divisors, whose sum is σ = 1303527680. Its totient is φ = 105815808.

The previous prime is 381649963. The next prime is 381649969. The reversal of 381649968 is 869946183.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (381649963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1006803 + ... + 1007181.

Almost surely, 2^381649968 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 381649968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651763840).

381649968 is an abundant number, since it is smaller than the sum of its proper divisors (921877712).

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

381649968 is a wasteful number, since it uses less digits than its factorization.

381649968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 428 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 381649968 is about 19535.8636358877. The cubic root of 381649968 is about 725.3624619604.

The spelling of 381649968 in words is "three hundred eighty-one million, six hundred forty-nine thousand, nine hundred sixty-eight".