38904240 has 80 divisors (see below), whose sum is σ = 121429728. Its totient is φ = 10303488.

The previous prime is 38904221. The next prime is 38904253. The reversal of 38904240 is 4240983.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 38904198 and 38904207.

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, 41052 + ... + 41988.

Almost surely, 2^38904240 is an apocalyptic number.

38904240 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 38904240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60714864).

38904240 is an abundant number, since it is smaller than the sum of its proper divisors (82525488).

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

38904240 is a wasteful number, since it uses less digits than its factorization.

38904240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 38904240 is about 6237.3263502882. The cubic root of 38904240 is about 338.8433592073.

The spelling of 38904240 in words is "thirty-eight million, nine hundred four thousand, two hundred forty".