38374880013 has 12 divisors (see below), whose sum is σ = 58347771040. Its totient is φ = 24236766216.

The previous prime is 38374879999. The next prime is 38374880029. The reversal of 38374880013 is 31008847383.

38374880013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38374880013 - 2²⁹ = 37838009101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38374880813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112207081 + ... + 112207422.

Almost surely, 2^38374880013 is an apocalyptic number.

It is an amenable number.

38374880013 is a deficient number, since it is larger than the sum of its proper divisors (19972891027).

38374880013 is a wasteful number, since it uses less digits than its factorization.

38374880013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224414528 (or 224414525 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

It can be divided in two parts, 383748 and 80013, that added together give a square (463761 = 681²).

The spelling of 38374880013 in words is "thirty-eight billion, three hundred seventy-four million, eight hundred eighty thousand, thirteen".