3667188046248 has 192 divisors, whose sum is σ = 10327821504000. Its totient is φ = 1174643648640.

The previous prime is 3667188046241. The next prime is 3667188046289. The reversal of 3667188046248 is 8426408817663.

3667188046248 is a `hidden beast` number, since 3 + 66 + 71 + 8 + 8 + 0 + 462 + 48 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3667188046241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168216453 + ... + 168238251.

It is an arithmetic number, because the mean of its divisors is an integer number (53790737000).

Almost surely, 2^{3667188046248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3667188046248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163910752000).

3667188046248 is an abundant number, since it is smaller than the sum of its proper divisors (6660633457752).

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

3667188046248 is a wasteful number, since it uses less digits than its factorization.

3667188046248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22732 (or 22725 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 3667188046248 in words is "three trillion, six hundred sixty-seven billion, one hundred eighty-eight million, forty-six thousand, two hundred forty-eight".