38764149408 has 72 divisors (see below), whose sum is σ = 110306484288. Its totient is φ = 12913068672.

The previous prime is 38764149401. The next prime is 38764149409. The reversal of 38764149408 is 80494146783.

38764149408 is a `hidden beast` number, since 38 + 7 + 64 + 149 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (38764149401) 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, 413391 + ... + 498417.

It is an arithmetic number, because the mean of its divisors is an integer number (1532034504).

Almost surely, 2^38764149408 is an apocalyptic number.

It is an amenable number.

38764149408 is an abundant number, since it is smaller than the sum of its proper divisors (71542334880).

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

38764149408 is a wasteful number, since it uses less digits than its factorization.

38764149408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86626 (or 86615 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 38764149408 in words is "thirty-eight billion, seven hundred sixty-four million, one hundred forty-nine thousand, four hundred eight".