38442480 has 80 divisors (see below), whose sum is σ = 123039744. Its totient is φ = 9918720.

The previous prime is 38442463. The next prime is 38442497. The reversal of 38442480 is 8424483.

It is an interprime number because it is at equal distance from previous prime (38442463) and next prime (38442497).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4857 + ... + 10023.

Almost surely, 2^38442480 is an apocalyptic number.

38442480 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 38442480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61519872).

38442480 is an abundant number, since it is smaller than the sum of its proper divisors (84597264).

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

38442480 is a wasteful number, since it uses less digits than its factorization.

38442480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5214 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 38442480 is about 6200.1999967743. The cubic root of 38442480 is about 337.4974265922.

The spelling of 38442480 in words is "thirty-eight million, four hundred forty-two thousand, four hundred eighty".