3667805795250 has 192 divisors, whose sum is σ = 9958449676032. Its totient is φ = 974076192000.

The previous prime is 3667805795243. The next prime is 3667805795267. The reversal of 3667805795250 is 525975087663.

3667805795250 is a `hidden beast` number, since 3 + 6 + 6 + 7 + 8 + 0 + 579 + 5 + 2 + 50 = 666.

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, 587127627 + ... + 587133873.

It is an arithmetic number, because the mean of its divisors is an integer number (51866925396).

Almost surely, 2^{3667805795250} is an apocalyptic number.

3667805795250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3667805795250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979224838016).

3667805795250 is an abundant number, since it is smaller than the sum of its proper divisors (6290643880782).

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

3667805795250 is a wasteful number, since it uses less digits than its factorization.

3667805795250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7298 (or 7285 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 3667805795250 in words is "three trillion, six hundred sixty-seven billion, eight hundred five million, seven hundred ninety-five thousand, two hundred fifty".