38415240 has 96 divisors (see below), whose sum is σ = 132214680. Its totient is φ = 9639936.

The previous prime is 38415239. The next prime is 38415241. The reversal of 38415240 is 4251483.

38415240 is a `hidden beast` number, since 3 + 8 + 415 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (38415239) and next prime (38415241).

It can be written as a sum of positive squares in 4 ways, for example, as 38415204 + 36 = 6198^2 + 6^2 .

It is not an unprimeable number, because it can be changed into a prime (38415241) 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, 2982 + ... + 9258.

Almost surely, 2^38415240 is an apocalyptic number.

38415240 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 38415240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66107340).

38415240 is an abundant number, since it is smaller than the sum of its proper divisors (93799440).

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

38415240 is a wasteful number, since it uses less digits than its factorization.

38415240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6311 (or 6304 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 38415240 is about 6198.0029041620. The cubic root of 38415240 is about 337.4176918628.

The spelling of 38415240 in words is "thirty-eight million, four hundred fifteen thousand, two hundred forty".