3772121870016 has 448 divisors, whose sum is σ = 11471482060800. Its totient is φ = 1214838632448.

The previous prime is 3772121869927. The next prime is 3772121870071. The reversal of 3772121870016 is 6100781212773.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2362004130 + ... + 2362005726.

Almost surely, 2^{3772121870016} is an apocalyptic number.

3772121870016 is a gapful number since it is divisible by the number (36) 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 3772121870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5735741030400).

3772121870016 is an abundant number, since it is smaller than the sum of its proper divisors (7699360190784).

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

3772121870016 is a wasteful number, since it uses less digits than its factorization.

3772121870016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 3772121870016 in words is "three trillion, seven hundred seventy-two billion, one hundred twenty-one million, eight hundred seventy thousand, sixteen".