3738812250600 has 768 divisors, whose sum is σ = 14835546892800. Its totient is φ = 847780577280.

The previous prime is 3738812250539. The next prime is 3738812250619. The reversal of 3738812250600 is 60522188373.

3738812250600 is a `hidden beast` number, since 3 + 7 + 3 + 8 + 8 + 12 + 25 + 0 + 600 = 666.

3738812250600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4938985422 + ... + 4938986178.

It is an arithmetic number, because the mean of its divisors is an integer number (19317118350).

Almost surely, 2^{3738812250600} is an apocalyptic number.

3738812250600 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 3738812250600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7417773446400).

3738812250600 is an abundant number, since it is smaller than the sum of its proper divisors (11096734642200).

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

3738812250600 is a wasteful number, since it uses less digits than its factorization.

3738812250600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 3738812250600 in words is "three trillion, seven hundred thirty-eight billion, eight hundred twelve million, two hundred fifty thousand, six hundred".