3463720000 has 140 divisors (see below), whose sum is σ = 9250973116. Its totient is φ = 1278720000.

The previous prime is 3463719967. The next prime is 3463720033. The reversal of 3463720000 is 273643.

It is an interprime number because it is at equal distance from previous prime (3463719967) and next prime (3463720033).

It can be written as a sum of positive squares in 10 ways, for example, as 2435619904 + 1028100096 = 49352^2 + 32064^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 516670 + ... + 523330.

Almost surely, 2^3463720000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3463720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4625486558).

3463720000 is an abundant number, since it is smaller than the sum of its proper divisors (5787253116).

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

3463720000 is an equidigital number, since it uses as much as digits as its factorization.

3463720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6706 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 3463720000 is about 58853.3771333472. The cubic root of 3463720000 is about 1513.0301854609.

Adding to 3463720000 its reverse (273643), we get a palindrome (3463993643).

The spelling of 3463720000 in words is "three billion, four hundred sixty-three million, seven hundred twenty thousand".