38424960 has 192 divisors, whose sum is σ = 151800480. Its totient is φ = 8773632.

The previous prime is 38424959. The next prime is 38424961. The reversal of 38424960 is 6942483.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38424959) and next prime (38424961).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38424961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39844 + ... + 40796.

Almost surely, 2^38424960 is an apocalyptic number.

38424960 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 38424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75900240).

38424960 is an abundant number, since it is smaller than the sum of its proper divisors (113375520).

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

38424960 is a wasteful number, since it uses less digits than its factorization.

38424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 38424960 is about 6198.7869781111. The cubic root of 38424960 is about 337.4461477863.

The spelling of 38424960 in words is "thirty-eight million, four hundred twenty-four thousand, nine hundred sixty".