4346466432 has 256 divisors, whose sum is σ = 15242618880. Its totient is φ = 1062420480.

The previous prime is 4346466431. The next prime is 4346466493. The reversal of 4346466432 is 2346646434.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (4346466431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498333 + ... + 506979.

It is an arithmetic number, because the mean of its divisors is an integer number (59541480).

Almost surely, 2^4346466432 is an apocalyptic number.

4346466432 is a gapful number since it is divisible by the number (42) 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 4346466432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7621309440).

4346466432 is an abundant number, since it is smaller than the sum of its proper divisors (10896152448).

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

4346466432 is a wasteful number, since it uses less digits than its factorization.

4346466432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8699 (or 8687 counting only the distinct ones).

The product of its digits is 995328, while the sum is 42.

The square root of 4346466432 is about 65927.7364392256. The cubic root of 4346466432 is about 1631.9697706819.

The spelling of 4346466432 in words is "four billion, three hundred forty-six million, four hundred sixty-six thousand, four hundred thirty-two".