38790240 has 96 divisors (see below), whose sum is σ = 123088896. Its totient is φ = 10268160.

The previous prime is 38790217. The next prime is 38790247. The reversal of 38790240 is 4209783.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38790247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101089 + ... + 101471.

It is an arithmetic number, because the mean of its divisors is an integer number (1282176).

Almost surely, 2^38790240 is an apocalyptic number.

38790240 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 38790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61544448).

38790240 is an abundant number, since it is smaller than the sum of its proper divisors (84298656).

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

38790240 is a wasteful number, since it uses less digits than its factorization.

38790240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 38790240 is about 6228.1811149002. The cubic root of 38790240 is about 338.5120676839.

The spelling of 38790240 in words is "thirty-eight million, seven hundred ninety thousand, two hundred forty".