3643950816 has 216 divisors, whose sum is σ = 12062140272. Its totient is φ = 1039104000.

The previous prime is 3643950811. The next prime is 3643950841. The reversal of 3643950816 is 6180593463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643950811) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 589341 + ... + 595491.

It is an arithmetic number, because the mean of its divisors is an integer number (55843242).

Almost surely, 2^3643950816 is an apocalyptic number.

3643950816 is a gapful number since it is divisible by the number (36) 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 3643950816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6031070136).

3643950816 is an abundant number, since it is smaller than the sum of its proper divisors (8418189456).

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

3643950816 is a wasteful number, since it uses less digits than its factorization.

3643950816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6206 (or 6184 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3643950816 is about 60365.1457051170. The cubic root of 3643950816 is about 1538.8306769828.

It can be divided in two parts, 3643 and 950816, that added together give a palindrome (954459).

The spelling of 3643950816 in words is "three billion, six hundred forty-three million, nine hundred fifty thousand, eight hundred sixteen".