38404080 has 240 divisors, whose sum is σ = 151927776. Its totient is φ = 8570880.

The previous prime is 38404061. The next prime is 38404081. The reversal of 38404080 is 8040483.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38404081) 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, 102774 + ... + 103146.

Almost surely, 2^38404080 is an apocalyptic number.

38404080 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 38404080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75963888).

38404080 is an abundant number, since it is smaller than the sum of its proper divisors (113523696).

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

38404080 is a wasteful number, since it uses less digits than its factorization.

38404080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 38404080 is about 6197.1025487723. The cubic root of 38404080 is about 337.3850143270.

The spelling of 38404080 in words is "thirty-eight million, four hundred four thousand, eighty".