3630802546800 has 2400 divisors, whose sum is σ = 16743392354304. Its totient is φ = 739528704000.

The previous prime is 3630802546771. The next prime is 3630802546801. The reversal of 3630802546800 is 86452080363.

It is a happy number.

3630802546800 is a `hidden beast` number, since 3 + 630 + 8 + 0 + 2 + 5 + 4 + 6 + 8 + 0 + 0 = 666.

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 (3630802546801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2441695657 + ... + 2441697143.

Almost surely, 2^{3630802546800} is an apocalyptic number.

3630802546800 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 3630802546800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8371696177152).

3630802546800 is an abundant number, since it is smaller than the sum of its proper divisors (13112589807504).

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

3630802546800 is a wasteful number, since it uses less digits than its factorization.

3630802546800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3630802546800 in words is "three trillion, six hundred thirty billion, eight hundred two million, five hundred forty-six thousand, eight hundred".