38983040 has 64 divisors (see below), whose sum is σ = 98703360. Its totient is φ = 14671872.

The previous prime is 38983013. The next prime is 38983067. The reversal of 38983040 is 4038983.

38983040 = 257² + 258² + ... + 511².

It is an interprime number because it is at equal distance from previous prime (38983013) and next prime (38983067).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9089 + ... + 12671.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 2^38983040 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 38983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49351680).

38983040 is an abundant number, since it is smaller than the sum of its proper divisors (59720320).

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

38983040 is a wasteful number, since it uses less digits than its factorization.

38983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 38983040 is about 6243.6399639954. The cubic root of 38983040 is about 339.0719791003.

The spelling of 38983040 in words is "thirty-eight million, nine hundred eighty-three thousand, forty".