3672923618080 has 192 divisors, whose sum is σ = 8948281960800. Its totient is φ = 1423783526400.

The previous prime is 3672923618071. The next prime is 3672923618213. The reversal of 3672923618080 is 808163292763.

It can be written as a sum of positive squares in 16 ways, for example, as 1510647479056 + 2162276139024 = 1229084^2 + 1470468^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1839219642 + ... + 1839221638.

Almost surely, 2^{3672923618080} 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 3672923618080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474140980400).

3672923618080 is an abundant number, since it is smaller than the sum of its proper divisors (5275358342720).

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

3672923618080 is a wasteful number, since it uses less digits than its factorization.

3672923618080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 3672923618080 in words is "three trillion, six hundred seventy-two billion, nine hundred twenty-three million, six hundred eighteen thousand, eighty".