38405907 has 32 divisors (see below), whose sum is σ = 61047360. Its totient is φ = 24074496.

The previous prime is 38405893. The next prime is 38405911. The reversal of 38405907 is 70950483.

It is not a de Polignac number, because 38405907 - 2⁴ = 38405891 is a prime.

It is a Smith number, since the sum of its digits (36) 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 (38405987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36663 + ... + 37695.

It is an arithmetic number, because the mean of its divisors is an integer number (1907730).

Almost surely, 2^38405907 is an apocalyptic number.

38405907 is the 3099-th decagonal number.

38405907 is a deficient number, since it is larger than the sum of its proper divisors (22641453).

38405907 is an equidigital number, since it uses as much as digits as its factorization.

38405907 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 38405907 is about 6197.2499546170. The cubic root of 38405907 is about 337.3903643891.

The spelling of 38405907 in words is "thirty-eight million, four hundred five thousand, nine hundred seven".