38769840 has 200 divisors, whose sum is σ = 139717248. Its totient is φ = 9953280.

The previous prime is 38769817. The next prime is 38769859. The reversal of 38769840 is 4896783.

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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 200784 + ... + 200976.

Almost surely, 2^38769840 is an apocalyptic number.

38769840 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 38769840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69858624).

38769840 is an abundant number, since it is smaller than the sum of its proper divisors (100947408).

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

38769840 is a wasteful number, since it uses less digits than its factorization.

38769840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

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

The square root of 38769840 is about 6226.5431822160. The cubic root of 38769840 is about 338.4527154937.

The spelling of 38769840 in words is "thirty-eight million, seven hundred sixty-nine thousand, eight hundred forty".