3634899796800 has 672 divisors, whose sum is σ = 13841388380160. Its totient is φ = 926176204800.

The previous prime is 3634899796793. The next prime is 3634899796859. The reversal of 3634899796800 is 86979984363.

3634899796800 is a `hidden beast` number, since 3 + 63 + 489 + 9 + 7 + 9 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 1572867645 + ... + 1572869955.

Almost surely, 2^{3634899796800} is an apocalyptic number.

3634899796800 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 3634899796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6920694190080).

3634899796800 is an abundant number, since it is smaller than the sum of its proper divisors (10206488583360).

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

3634899796800 is a wasteful number, since it uses less digits than its factorization.

3634899796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 3634899796800 in words is "three trillion, six hundred thirty-four billion, eight hundred ninety-nine million, seven hundred ninety-six thousand, eight hundred".