38298240 has 192 divisors, whose sum is σ = 135649800. Its totient is φ = 9953280.

The previous prime is 38298233. The next prime is 38298259. The reversal of 38298240 is 4289283.

It can be written as a sum of positive squares in 4 ways, for example, as 23736384 + 14561856 = 4872^2 + 3816^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 = 38298195 and 38298204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351306 + ... + 351414.

Almost surely, 2^38298240 is an apocalyptic number.

38298240 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 38298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67824900).

38298240 is an abundant number, since it is smaller than the sum of its proper divisors (97351560).

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

38298240 is a wasteful number, since it uses less digits than its factorization.

38298240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38298240 is about 6188.5571824134. The cubic root of 38298240 is about 337.0747896127.

The spelling of 38298240 in words is "thirty-eight million, two hundred ninety-eight thousand, two hundred forty".