38800440 has 192 divisors, whose sum is σ = 146577600. Its totient is φ = 8718336.

The previous prime is 38800393. The next prime is 38800459. The reversal of 38800440 is 4400883.

It is a Cunningham number, because it is equal to 6229²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224194 + ... + 224366.

It is an arithmetic number, because the mean of its divisors is an integer number (763425).

Almost surely, 2^38800440 is an apocalyptic number.

38800440 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 38800440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73288800).

38800440 is an abundant number, since it is smaller than the sum of its proper divisors (107777160).

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

38800440 is a wasteful number, since it uses less digits than its factorization.

38800440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 38800440 is about 6228.9999197303. Note that the first 4 decimals coincide. The cubic root of 38800440 is about 338.5417359758.

The spelling of 38800440 in words is "thirty-eight million, eight hundred thousand, four hundred forty".