3667106620320 has 384 divisors, whose sum is σ = 13574574397440. Its totient is φ = 820386631680.

The previous prime is 3667106620313. The next prime is 3667106620337. The reversal of 3667106620320 is 230266017663.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 485898787 + ... + 485906333.

It is an arithmetic number, because the mean of its divisors is an integer number (35350454160).

Almost surely, 2^{3667106620320} is an apocalyptic number.

3667106620320 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 3667106620320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6787287198720).

3667106620320 is an abundant number, since it is smaller than the sum of its proper divisors (9907467777120).

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

3667106620320 is a wasteful number, since it uses less digits than its factorization.

3667106620320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14668 (or 14660 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 3667106620320 in words is "three trillion, six hundred sixty-seven billion, one hundred six million, six hundred twenty thousand, three hundred twenty".