38404905 has 64 divisors (see below), whose sum is σ = 78575616. Its totient is φ = 15552000.

The previous prime is 38404901. The next prime is 38404957. The reversal of 38404905 is 50940483.

It is not a de Polignac number, because 38404905 - 2² = 38404901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (38404901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46950 + ... + 47760.

It is an arithmetic number, because the mean of its divisors is an integer number (1227744).

Almost surely, 2^38404905 is an apocalyptic number.

38404905 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38404905 is an abundant number, since it is smaller than the sum of its proper divisors (40170711).

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

38404905 is a wasteful number, since it uses less digits than its factorization.

38404905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 38404905 is about 6197.1691117800. The cubic root of 38404905 is about 337.3874302217.

The spelling of 38404905 in words is "thirty-eight million, four hundred four thousand, nine hundred five".