3806025907200 has 528 divisors, whose sum is σ = 14041935532416. Its totient is φ = 901206835200.

The previous prime is 3806025907193. The next prime is 3806025907213. The reversal of 3806025907200 is 27095206083.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36274014 + ... + 36378786.

It is an arithmetic number, because the mean of its divisors is an integer number (26594574872).

Almost surely, 2^{3806025907200} is an apocalyptic number.

3806025907200 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 3806025907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020967766208).

3806025907200 is an abundant number, since it is smaller than the sum of its proper divisors (10235909625216).

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

3806025907200 is a wasteful number, since it uses less digits than its factorization.

3806025907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104860 (or 104837 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 3806025907200 in words is "three trillion, eight hundred six billion, twenty-five million, nine hundred seven thousand, two hundred".