3667230720000 has 760 divisors, whose sum is σ = 13594342480400. Its totient is φ = 976748544000.

The previous prime is 3667230719857. The next prime is 3667230720011. The reversal of 3667230720000 is 270327663.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4423679586 + ... + 4423680414.

Almost surely, 2^{3667230720000} is an apocalyptic number.

3667230720000 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 3667230720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797171240200).

3667230720000 is an abundant number, since it is smaller than the sum of its proper divisors (9927111760400).

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

3667230720000 is an frugal number, since it uses more digits than its factorization.

3667230720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 3667230720000 in words is "three trillion, six hundred sixty-seven billion, two hundred thirty million, seven hundred twenty thousand".