3641209600 has 324 divisors, whose sum is σ = 11116960344. Its totient is φ = 1173258240.

The previous prime is 3641209589. The next prime is 3641209601. The reversal of 3641209600 is 69021463.

It is a super-2 number, since 2×3641209600² = 26516814702264320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3641209601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5330859 + ... + 5331541.

It is an arithmetic number, because the mean of its divisors is an integer number (34311606).

Almost surely, 2^3641209600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3641209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5558480172).

3641209600 is an abundant number, since it is smaller than the sum of its proper divisors (7475750744).

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

3641209600 is a wasteful number, since it uses less digits than its factorization.

3641209600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 3641209600 is about 60342.4361457176. The cubic root of 3641209600 is about 1538.4447107903. Note that the first 3 decimals are identical.

The spelling of 3641209600 in words is "three billion, six hundred forty-one million, two hundred nine thousand, six hundred".