3629656800 has 432 divisors, whose sum is σ = 15959728512. Its totient is φ = 754099200.

The previous prime is 3629656799. The next prime is 3629656801. The reversal of 3629656800 is 86569263.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3629656799) and next prime (3629656801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3629656801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 551127 + ... + 557673.

It is an arithmetic number, because the mean of its divisors is an integer number (36943816).

Almost surely, 2^3629656800 is an apocalyptic number.

3629656800 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 3629656800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979864256).

3629656800 is an abundant number, since it is smaller than the sum of its proper divisors (12330071712).

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

3629656800 is a wasteful number, since it uses less digits than its factorization.

3629656800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6591 (or 6575 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3629656800 is about 60246.6331009460. The cubic root of 3629656800 is about 1536.8159320553.

It can be divided in two parts, 36296 and 56800, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 3629656800 in words is "three billion, six hundred twenty-nine million, six hundred fifty-six thousand, eight hundred".