3672002308100 has 144 divisors (see below), whose sum is σ = 9247135645440. Its totient is φ = 1239656140800.

The previous prime is 3672002308063. The next prime is 3672002308103. The reversal of 3672002308100 is 18032002763.

It is a happy number.

It is a super-2 number, since 2×3672002308100² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3672002308103) 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, 14892017 + ... + 15136583.

It is an arithmetic number, because the mean of its divisors is an integer number (64216219760).

Almost surely, 2^{3672002308100} 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 3672002308100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623567822720).

3672002308100 is an abundant number, since it is smaller than the sum of its proper divisors (5575133337340).

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

3672002308100 is a wasteful number, since it uses less digits than its factorization.

3672002308100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244918 (or 244911 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 3672002308100 in words is "three trillion, six hundred seventy-two billion, two million, three hundred eight thousand, one hundred".