38780406 has 96 divisors (see below), whose sum is σ = 102735360. Its totient is φ = 10326528.

The previous prime is 38780393. The next prime is 38780407. The reversal of 38780406 is 60408783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38780407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232135 + ... + 232301.

It is an arithmetic number, because the mean of its divisors is an integer number (1070160).

Almost surely, 2^38780406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38780406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51367680).

38780406 is an abundant number, since it is smaller than the sum of its proper divisors (63954954).

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

38780406 is a wasteful number, since it uses less digits than its factorization.

38780406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 38780406 is about 6227.3915887794. The cubic root of 38780406 is about 338.4834590354.

The spelling of 38780406 in words is "thirty-eight million, seven hundred eighty thousand, four hundred six".