2038368672 has 48 divisors (see below), whose sum is σ = 5945244480. Its totient is φ = 679455936.

The previous prime is 2038368641. The next prime is 2038368679. The reversal of 2038368672 is 2768638302.

2038368672 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2038368679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1178748 + ... + 1180475.

It is an arithmetic number, because the mean of its divisors is an integer number (123859260).

Almost surely, 2^2038368672 is an apocalyptic number.

It is an amenable number.

2038368672 is an abundant number, since it is smaller than the sum of its proper divisors (3906875808).

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

2038368672 is a wasteful number, since it uses less digits than its factorization.

2038368672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359242 (or 2359228 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2038368672 is about 45148.2964462669. The cubic root of 2038368672 is about 1267.9269861463.

The spelling of 2038368672 in words is "two billion, thirty-eight million, three hundred sixty-eight thousand, six hundred seventy-two".