3631340400 has 120 divisors (see below), whose sum is σ = 11692202544. Its totient is φ = 963379200.

The previous prime is 3631340399. The next prime is 3631340413. The reversal of 3631340400 is 40431363.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228720 + ... + 244080.

Almost surely, 2^3631340400 is an apocalyptic number.

3631340400 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 3631340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846101272).

3631340400 is an abundant number, since it is smaller than the sum of its proper divisors (8060862144).

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

3631340400 is a wasteful number, since it uses less digits than its factorization.

3631340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15579 (or 15568 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3631340400 is about 60260.6040460930. The cubic root of 3631340400 is about 1537.0535103812.

Adding to 3631340400 its reverse (40431363), we get a palindrome (3671771763).

The spelling of 3631340400 in words is "three billion, six hundred thirty-one million, three hundred forty thousand, four hundred".