38427480 has 512 divisors, whose sum is σ = 174182400. Its totient is φ = 7299072.

The previous prime is 38427479. The next prime is 38427511. The reversal of 38427480 is 8472483.

38427480 is a `hidden beast` number, since 384 + 274 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1670749 + ... + 1670771.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 2^38427480 is an apocalyptic number.

38427480 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 38427480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

38427480 is an abundant number, since it is smaller than the sum of its proper divisors (135754920).

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

38427480 is a wasteful number, since it uses less digits than its factorization.

38427480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 38427480 is about 6198.9902403537. The cubic root of 38427480 is about 337.4535244646.

The spelling of 38427480 in words is "thirty-eight million, four hundred twenty-seven thousand, four hundred eighty".