3800885299200 has 1728 divisors, whose sum is σ = 15862559731200. Its totient is φ = 890486784000.

The previous prime is 3800885299153. The next prime is 3800885299223. The reversal of 3800885299200 is 29925880083.

3800885299200 is a `hidden beast` number, since 38 + 0 + 0 + 88 + 529 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5185382034 + ... + 5185382766.

Almost surely, 2^{3800885299200} is an apocalyptic number.

3800885299200 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 3800885299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931279865600).

3800885299200 is an abundant number, since it is smaller than the sum of its proper divisors (12061674432000).

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

3800885299200 is a wasteful number, since it uses less digits than its factorization.

3800885299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 3800885299200 in words is "three trillion, eight hundred billion, eight hundred eighty-five million, two hundred ninety-nine thousand, two hundred".