38855040 has 256 divisors, whose sum is σ = 146880000. Its totient is φ = 8730624.

The previous prime is 38855029. The next prime is 38855071. The reversal of 38855040 is 4055883.

38855040 = T₈₅ + T₈₆ + ... + T₆₁₅.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 38854992 and 38855010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658531 + ... + 658589.

It is an arithmetic number, because the mean of its divisors is an integer number (573750).

Almost surely, 2^38855040 is an apocalyptic number.

38855040 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 38855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73440000).

38855040 is an abundant number, since it is smaller than the sum of its proper divisors (108024960).

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

38855040 is an equidigital number, since it uses as much as digits as its factorization.

38855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 38855040 is about 6233.3811049863. The cubic root of 38855040 is about 338.7004602510.

The spelling of 38855040 in words is "thirty-eight million, eight hundred fifty-five thousand, forty".