3626320032 has 144 divisors (see below), whose sum is σ = 10591989408. Its totient is φ = 1176215040.

The previous prime is 3626320021. The next prime is 3626320037. The reversal of 3626320032 is 2300236263.

3626320032 is a `hidden beast` number, since 3 + 626 + 3 + 2 + 0 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3626319978 and 3626320005.

It is not an unprimeable number, because it can be changed into a prime (3626320037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5485782 + ... + 5486442.

It is an arithmetic number, because the mean of its divisors is an integer number (73555482).

Almost surely, 2^3626320032 is an apocalyptic number.

3626320032 is a gapful number since it is divisible by the number (32) 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 3626320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295994704).

3626320032 is an abundant number, since it is smaller than the sum of its proper divisors (6965669376).

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

3626320032 is a wasteful number, since it uses less digits than its factorization.

3626320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 3626320032 is about 60218.9341652607. The cubic root of 3626320032 is about 1536.3448525832.

Adding to 3626320032 its reverse (2300236263), we get a palindrome (5926556295).

The spelling of 3626320032 in words is "three billion, six hundred twenty-six million, three hundred twenty thousand, thirty-two".