3758638961 has 16 divisors (see below), whose sum is σ = 4800394368. Its totient is φ = 2857372800.

The previous prime is 3758638937. The next prime is 3758638991. The reversal of 3758638961 is 1698368573.

3758638961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3758638961 - 2²⁶ = 3691530097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3758638897 and 3758638906.

It is not an unprimeable number, because it can be changed into a prime (3758638921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592130 + ... + 598443.

It is an arithmetic number, because the mean of its divisors is an integer number (300024648).

Almost surely, 2^3758638961 is an apocalyptic number.

It is an amenable number.

3758638961 is a deficient number, since it is larger than the sum of its proper divisors (1041755407).

3758638961 is a wasteful number, since it uses less digits than its factorization.

3758638961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190632.

The product of its digits is 6531840, while the sum is 56.

The square root of 3758638961 is about 61307.7398131753. The cubic root of 3758638961 is about 1554.8083718051.

The spelling of 3758638961 in words is "three billion, seven hundred fifty-eight million, six hundred thirty-eight thousand, nine hundred sixty-one".