4346345120 has 192 divisors, whose sum is σ = 11834224416. Its totient is φ = 1494220800.

The previous prime is 4346345093. The next prime is 4346345161. The reversal of 4346345120 is 215436434.

It can be written as a sum of positive squares in 16 ways, for example, as 939054736 + 3407290384 = 30644^2 + 58372^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3570752 + ... + 3571968.

Almost surely, 2^4346345120 is an apocalyptic number.

4346345120 is a gapful number since it is divisible by the number (40) 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 4346345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5917112208).

4346345120 is an abundant number, since it is smaller than the sum of its proper divisors (7487879296).

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

4346345120 is a wasteful number, since it uses less digits than its factorization.

4346345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 4346345120 is about 65926.8163951514. The cubic root of 4346345120 is about 1631.9545875163.

The spelling of 4346345120 in words is "four billion, three hundred forty-six million, three hundred forty-five thousand, one hundred twenty".