3667848853760 has 864 divisors, whose sum is σ = 11448370612224. Its totient is φ = 1115928576000.

The previous prime is 3667848853751. The next prime is 3667848853769. The reversal of 3667848853760 is 673588487663.

It is an interprime number because it is at equal distance from previous prime (3667848853751) and next prime (3667848853769).

It is a super-2 number, since 2×3667848853760² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3667848853769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24290389685 + ... + 24290389835.

Almost surely, 2^{3667848853760} 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 3667848853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724185306112).

3667848853760 is an abundant number, since it is smaller than the sum of its proper divisors (7780521758464).

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

3667848853760 is an equidigital number, since it uses as much as digits as its factorization.

3667848853760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 71.

The spelling of 3667848853760 in words is "three trillion, six hundred sixty-seven billion, eight hundred forty-eight million, eight hundred fifty-three thousand, seven hundred sixty".