3799636495200 has 2304 divisors, whose sum is σ = 17632151470080. Its totient is φ = 768144384000.

The previous prime is 3799636495199. The next prime is 3799636495247. The reversal of 3799636495200 is 25946369973.

3799636495200 is a `hidden beast` number, since 3 + 7 + 9 + 9 + 63 + 6 + 49 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7738566955 + ... + 7738567445.

It is an arithmetic number, because the mean of its divisors is an integer number (7652843520).

Almost surely, 2^{3799636495200} is an apocalyptic number.

3799636495200 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 3799636495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8816075735040).

3799636495200 is an abundant number, since it is smaller than the sum of its proper divisors (13832514974880).

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

3799636495200 is a wasteful number, since it uses less digits than its factorization.

3799636495200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 3799636495200 in words is "three trillion, seven hundred ninety-nine billion, six hundred thirty-six million, four hundred ninety-five thousand, two hundred".