3645440400 has 120 divisors (see below), whose sum is σ = 13345814464. Its totient is φ = 833241600.

The previous prime is 3645440371. The next prime is 3645440419. The reversal of 3645440400 is 40445463.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 208591 + ... + 225390.

Almost surely, 2^3645440400 is an apocalyptic number.

3645440400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3645440400 is an abundant number, since it is smaller than the sum of its proper divisors (9700374064).

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

3645440400 is a wasteful number, since it uses less digits than its factorization.

3645440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434009 (or 433998 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 3645440400 is about 60377.4825576555. The cubic root of 3645440400 is about 1539.0403308633.

Adding to 3645440400 its reverse (40445463), we get a palindrome (3685885863).

The spelling of 3645440400 in words is "three billion, six hundred forty-five million, four hundred forty thousand, four hundred".