3706812748800 has 1584 divisors, whose sum is σ = 15793251262464. Its totient is φ = 812851200000.

The previous prime is 3706812748757. The next prime is 3706812748981. The reversal of 3706812748800 is 88472186073.

It is a happy number.

3706812748800 is a `hidden beast` number, since 37 + 0 + 6 + 8 + 127 + 488 + 0 + 0 = 666.

It is a congruent number.

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, 7549516555 + ... + 7549517045.

Almost surely, 2^{3706812748800} is an apocalyptic number.

3706812748800 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 3706812748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896625631232).

3706812748800 is an abundant number, since it is smaller than the sum of its proper divisors (12086438513664).

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

3706812748800 is a wasteful number, since it uses less digits than its factorization.

3706812748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 3706812748800 in words is "three trillion, seven hundred six billion, eight hundred twelve million, seven hundred forty-eight thousand, eight hundred".