384932736 has 160 divisors (see below), whose sum is σ = 1158173280. Its totient is φ = 126904320.

The previous prime is 384932731. The next prime is 384932749. The reversal of 384932736 is 637239483.

It is a super-2 number, since 2×384932736² = 296346422488891392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 384932691 and 384932700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384932731) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1420281 + ... + 1420551.

It is an arithmetic number, because the mean of its divisors is an integer number (7238583).

Almost surely, 2^384932736 is an apocalyptic number.

384932736 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 384932736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579086640).

384932736 is an abundant number, since it is smaller than the sum of its proper divisors (773240544).

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

384932736 is a wasteful number, since it uses less digits than its factorization.

384932736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 413 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 384932736 is about 19619.7027500419. The cubic root of 384932736 is about 727.4362660714.

It can be divided in two parts, 3849 and 32736, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 384932736 in words is "three hundred eighty-four million, nine hundred thirty-two thousand, seven hundred thirty-six".