38405040 has 80 divisors (see below), whose sum is σ = 126072288. Its totient is φ = 9637888.

The previous prime is 38405011. The next prime is 38405041. The reversal of 38405040 is 4050483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 38405040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38405041) 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, 627 + ... + 8786.

Almost surely, 2^38405040 is an apocalyptic number.

38405040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63036144).

38405040 is an abundant number, since it is smaller than the sum of its proper divisors (87667248).

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

38405040 is a wasteful number, since it uses less digits than its factorization.

38405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9446 (or 9440 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 38405040 is about 6197.1800038405. The cubic root of 38405040 is about 337.3878255466.

The spelling of 38405040 in words is "thirty-eight million, four hundred five thousand, forty".