3645811400 has 192 divisors, whose sum is σ = 10744133760. Its totient is φ = 1117440000.

The previous prime is 3645811387. The next prime is 3645811423. The reversal of 3645811400 is 41185463.

3645811400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 937460 + ... + 941340.

It is an arithmetic number, because the mean of its divisors is an integer number (55959030).

Almost surely, 2^3645811400 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 3645811400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372066880).

3645811400 is an abundant number, since it is smaller than the sum of its proper divisors (7098322360).

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

3645811400 is a wasteful number, since it uses less digits than its factorization.

3645811400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 3645811400 is about 60380.5548169276. The cubic root of 3645811400 is about 1539.0925389672.

Adding to 3645811400 its reverse (41185463), we get a palindrome (3686996863).

The spelling of 3645811400 in words is "three billion, six hundred forty-five million, eight hundred eleven thousand, four hundred".