4306690000 has 100 divisors (see below), whose sum is σ = 10472225940. Its totient is φ = 1715200000.

The previous prime is 4306689997. The next prime is 4306690001. The reversal of 4306690000 is 966034.

It can be written as a sum of positive squares in 10 ways, for example, as 2908229184 + 1398460816 = 53928^2 + 37396^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×4306690000² = 37095157512200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4306690001) 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, 2689200 + ... + 2690800.

Almost surely, 2^4306690000 is an apocalyptic number.

4306690000 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 4306690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5236112970).

4306690000 is an abundant number, since it is smaller than the sum of its proper divisors (6165535940).

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

4306690000 is a wasteful number, since it uses less digits than its factorization.

4306690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 4306690000 is about 65625.3761893980. The cubic root of 4306690000 is about 1626.9762150162.

The spelling of 4306690000 in words is "four billion, three hundred six million, six hundred ninety thousand".