3812207241600 has 768 divisors, whose sum is σ = 15549906528000. Its totient is φ = 906425303040.

The previous prime is 3812207241553. The next prime is 3812207241691. The reversal of 3812207241600 is 61427022183.

It is a happy number.

3812207241600 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 2 + 0 + 7 + 2 + 41 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27838899 + ... + 27975501.

It is an arithmetic number, because the mean of its divisors is an integer number (20247274125).

Almost surely, 2^{3812207241600} is an apocalyptic number.

3812207241600 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 3812207241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7774953264000).

3812207241600 is an abundant number, since it is smaller than the sum of its proper divisors (11737699286400).

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

3812207241600 is a wasteful number, since it uses less digits than its factorization.

3812207241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136672 (or 136649 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 3812207241600 in words is "three trillion, eight hundred twelve billion, two hundred seven million, two hundred forty-one thousand, six hundred".