4634033364 has 72 divisors (see below), whose sum is σ = 12061177128. Its totient is φ = 1499258880.

The previous prime is 4634033347. The next prime is 4634033387. The reversal of 4634033364 is 4633304364.

It can be written as a sum of positive squares in 4 ways, for example, as 1206867600 + 3427165764 = 34740^2 + 58542^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282804 + ... + 298740.

It is an arithmetic number, because the mean of its divisors is an integer number (167516349).

Almost surely, 2^4634033364 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 4634033364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030588564).

4634033364 is an abundant number, since it is smaller than the sum of its proper divisors (7427143764).

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

4634033364 is a wasteful number, since it uses less digits than its factorization.

4634033364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16185 (or 16180 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

The square root of 4634033364 is about 68073.7347587159. The cubic root of 4634033364 is about 1667.1949473251.

Subtracting from 4634033364 its reverse (4633304364), we obtain a cube (729000 = 90³).

The spelling of 4634033364 in words is "four billion, six hundred thirty-four million, thirty-three thousand, three hundred sixty-four".