3634402320 has 120 divisors (see below), whose sum is σ = 12222264600. Its totient is φ = 967845888.

The previous prime is 3634402279. The next prime is 3634402333. The reversal of 3634402320 is 232044363.

It is a happy number.

3634402320 is a `hidden beast` number, since 3 + 634 + 4 + 0 + 2 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 164249856 + 3470152464 = 12816^2 + 58908^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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, 593836 + ... + 599924.

It is an arithmetic number, because the mean of its divisors is an integer number (101852205).

Almost surely, 2^3634402320 is an apocalyptic number.

3634402320 is a gapful number since it is divisible by the number (30) 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 3634402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6111132300).

3634402320 is an abundant number, since it is smaller than the sum of its proper divisors (8587862280).

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

3634402320 is a wasteful number, since it uses less digits than its factorization.

3634402320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6937 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3634402320 is about 60286.0043459508. The cubic root of 3634402320 is about 1537.4853998217.

Adding to 3634402320 its reverse (232044363), we get a palindrome (3866446683).

The spelling of 3634402320 in words is "three billion, six hundred thirty-four million, four hundred two thousand, three hundred twenty".