384725376 has 448 divisors, whose sum is σ = 1427020800. Its totient is φ = 100776960.

The previous prime is 384725333. The next prime is 384725389. The reversal of 384725376 is 673527483.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×384725376² = 296027229876682752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12410481 + ... + 12410511.

Almost surely, 2^384725376 is an apocalyptic number.

384725376 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 384725376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713510400).

384725376 is an abundant number, since it is smaller than the sum of its proper divisors (1042295424).

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

384725376 is an equidigital number, since it uses as much as digits as its factorization.

384725376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 62 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 384725376 is about 19614.4175544419. The cubic root of 384725376 is about 727.3056213607.

The spelling of 384725376 in words is "three hundred eighty-four million, seven hundred twenty-five thousand, three hundred seventy-six".