38399040 has 168 divisors, whose sum is σ = 134721600. Its totient is φ = 10036224.

The previous prime is 38399033. The next prime is 38399041. The reversal of 38399040 is 4099383.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38398986 and 38399004.

It is not an unprimeable number, because it can be changed into a prime (38399041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192861 + ... + 193059.

Almost surely, 2^38399040 is an apocalyptic number.

38399040 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 38399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67360800).

38399040 is an abundant number, since it is smaller than the sum of its proper divisors (96322560).

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

38399040 is a wasteful number, since it uses less digits than its factorization.

38399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 38399040 is about 6196.6958937808. The cubic root of 38399040 is about 337.3702546551.

The spelling of 38399040 in words is "thirty-eight million, three hundred ninety-nine thousand, forty".