38807040 has 160 divisors (see below), whose sum is σ = 128848896. Its totient is φ = 9953280.

The previous prime is 38807023. The next prime is 38807051. The reversal of 38807040 is 4070883.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38806989 and 38807007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237999 + ... + 238161.

Almost surely, 2^38807040 is an apocalyptic number.

38807040 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 38807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64424448).

38807040 is an abundant number, since it is smaller than the sum of its proper divisors (90041856).

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

38807040 is a wasteful number, since it uses less digits than its factorization.

38807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 38807040 is about 6229.5296772710. The cubic root of 38807040 is about 338.5609303353.

The spelling of 38807040 in words is "thirty-eight million, eight hundred seven thousand, forty".