384149376 has 192 divisors, whose sum is σ = 1206288720. Its totient is φ = 116637696.

The previous prime is 384149371. The next prime is 384149387. The reversal of 384149376 is 673941483.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384149371) 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, 1692175 + ... + 1692401.

Almost surely, 2^384149376 is an apocalyptic number.

384149376 is a gapful number since it is divisible by the number (36) 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 384149376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603144360).

384149376 is an abundant number, since it is smaller than the sum of its proper divisors (822139344).

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

384149376 is a wasteful number, since it uses less digits than its factorization.

384149376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 358 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 384149376 is about 19599.7289777180. The cubic root of 384149376 is about 726.9424729028.

It can be divided in two parts, 38 and 4149376, that added together give a palindrome (4149414).

The spelling of 384149376 in words is "three hundred eighty-four million, one hundred forty-nine thousand, three hundred seventy-six".