38462240 has 96 divisors (see below), whose sum is σ = 95664240. Its totient is φ = 14598144.

The previous prime is 38462239. The next prime is 38462257. The reversal of 38462240 is 4226483.

It can be written as a sum of positive squares in 8 ways, for example, as 20178064 + 18284176 = 4492^2 + 4276^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432116 + ... + 432204.

Almost surely, 2^38462240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47832120).

38462240 is an abundant number, since it is smaller than the sum of its proper divisors (57202000).

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

38462240 is a wasteful number, since it uses less digits than its factorization.

38462240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 38462240 is about 6201.7932890415. The cubic root of 38462240 is about 337.5552429005. Note that the first 3 decimals are identical.

The spelling of 38462240 in words is "thirty-eight million, four hundred sixty-two thousand, two hundred forty".