3728880114672 has 160 divisors (see below), whose sum is σ = 10001199882240. Its totient is φ = 1195922810880.

The previous prime is 3728880114623. The next prime is 3728880114689. The reversal of 3728880114672 is 2764110888273.

It is a congruent number.

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, 232219668 + ... + 232235724.

It is an arithmetic number, because the mean of its divisors is an integer number (62507499264).

Almost surely, 2^{3728880114672} 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 3728880114672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5000599941120).

3728880114672 is an abundant number, since it is smaller than the sum of its proper divisors (6272319767568).

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

3728880114672 is a wasteful number, since it uses less digits than its factorization.

3728880114672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16991 (or 16985 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 3728880114672 in words is "three trillion, seven hundred twenty-eight billion, eight hundred eighty million, one hundred fourteen thousand, six hundred seventy-two".