3641063400 has 672 divisors, whose sum is σ = 14600862360. Its totient is φ = 836075520.

The previous prime is 3641063389. The next prime is 3641063441. The reversal of 3641063400 is 43601463.

3641063400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 54730404 + 3586332996 = 7398^2 + 59886^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 32221744 + ... + 32221856.

Almost surely, 2^3641063400 is an apocalyptic number.

3641063400 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 3641063400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7300431180).

3641063400 is an abundant number, since it is smaller than the sum of its proper divisors (10959798960).

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

3641063400 is a wasteful number, since it uses less digits than its factorization.

3641063400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3641063400 is about 60341.2247141206. The cubic root of 3641063400 is about 1538.4241202310.

Adding to 3641063400 its reverse (43601463), we get a palindrome (3684664863).

It can be divided in two parts, 3641063 and 400, that added together give a palindrome (3641463).

The spelling of 3641063400 in words is "three billion, six hundred forty-one million, sixty-three thousand, four hundred".