3643402320 has 240 divisors, whose sum is σ = 12547446912. Its totient is φ = 947082240.

The previous prime is 3643402307. The next prime is 3643402339. The reversal of 3643402320 is 232043463.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11714965 + ... + 11715275.

Almost surely, 2^3643402320 is an apocalyptic number.

3643402320 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 3643402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273723456).

3643402320 is an abundant number, since it is smaller than the sum of its proper divisors (8904044592).

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

3643402320 is a wasteful number, since it uses less digits than its factorization.

3643402320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 681 counting only the distinct ones).

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

The square root of 3643402320 is about 60360.6023826800. The cubic root of 3643402320 is about 1538.7534636443.

Adding to 3643402320 its reverse (232043463), we get a palindrome (3875445783).

The spelling of 3643402320 in words is "three billion, six hundred forty-three million, four hundred two thousand, three hundred twenty".