4293904384 has 192 divisors, whose sum is σ = 10879989120. Its totient is φ = 1645608960.

The previous prime is 4293904379. The next prime is 4293904423. The reversal of 4293904384 is 4834093924.

It is a super-2 number, since 2×4293904384² = 36875229717868838912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11511622 + ... + 11511994.

It is an arithmetic number, because the mean of its divisors is an integer number (56666610).

Almost surely, 2^4293904384 is an apocalyptic number.

4293904384 is a gapful number since it is divisible by the number (44) 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 4293904384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439994560).

4293904384 is an abundant number, since it is smaller than the sum of its proper divisors (6586084736).

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

4293904384 is a wasteful number, since it uses less digits than its factorization.

4293904384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The square root of 4293904384 is about 65527.8901232139. The cubic root of 4293904384 is about 1625.3645741689.

The spelling of 4293904384 in words is "four billion, two hundred ninety-three million, nine hundred four thousand, three hundred eighty-four".