38090640 has 240 divisors, whose sum is σ = 142490880. Its totient is φ = 8386560.

The previous prime is 38090629. The next prime is 38090641. The reversal of 38090640 is 4609083.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38090598 and 38090607.

It is not an unprimeable number, because it can be changed into a prime (38090641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 482121 + ... + 482199.

It is an arithmetic number, because the mean of its divisors is an integer number (593712).

Almost surely, 2^38090640 is an apocalyptic number.

38090640 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 38090640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

38090640 is an abundant number, since it is smaller than the sum of its proper divisors (104400240).

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

38090640 is a wasteful number, since it uses less digits than its factorization.

38090640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 38090640 is about 6171.7614989564. The cubic root of 38090640 is about 336.4646349648.

The spelling of 38090640 in words is "thirty-eight million, ninety thousand, six hundred forty".