38768490 has 64 divisors (see below), whose sum is σ = 104227200. Its totient is φ = 10253952.

The previous prime is 38768461. The next prime is 38768491. The reversal of 38768490 is 9486783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38768491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37014 + ... + 38046.

It is an arithmetic number, because the mean of its divisors is an integer number (1628550).

Almost surely, 2^38768490 is an apocalyptic number.

38768490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38768490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52113600).

38768490 is an abundant number, since it is smaller than the sum of its proper divisors (65458710).

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

38768490 is a wasteful number, since it uses less digits than its factorization.

38768490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 38768490 is about 6226.4347744114. The cubic root of 38768490 is about 338.4487870408.

The spelling of 38768490 in words is "thirty-eight million, seven hundred sixty-eight thousand, four hundred ninety".