3799852399800 has 864 divisors, whose sum is σ = 14040650894400. Its totient is φ = 920178524160.

The previous prime is 3799852399799. The next prime is 3799852399801. The reversal of 3799852399800 is 89932589973.

3799852399800 is a `hidden beast` number, since 3 + 7 + 9 + 9 + 8 + 523 + 9 + 98 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3799852399799) and next prime (3799852399801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3799852399801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1784805136 + ... + 1784807264.

It is an arithmetic number, because the mean of its divisors is an integer number (16250753350).

Almost surely, 2^{3799852399800} is an apocalyptic number.

3799852399800 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 3799852399800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020325447200).

3799852399800 is an abundant number, since it is smaller than the sum of its proper divisors (10240798494600).

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

3799852399800 is a wasteful number, since it uses less digits than its factorization.

3799852399800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 3799852399800 in words is "three trillion, seven hundred ninety-nine billion, eight hundred fifty-two million, three hundred ninety-nine thousand, eight hundred".