38682024464424 has 256 divisors, whose sum is σ = 107212999680000. Its totient is φ = 11531957299200.

The previous prime is 38682024464411. The next prime is 38682024464437. The reversal of 38682024464424 is 42446442028683.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38682024464411) and next prime (38682024464437).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19350686577 + ... + 19350688575.

It is an arithmetic number, because the mean of its divisors is an integer number (418800780000).

Almost surely, 2^{38682024464424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38682024464424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53606499840000).

38682024464424 is an abundant number, since it is smaller than the sum of its proper divisors (68530975215576).

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

38682024464424 is a wasteful number, since it uses less digits than its factorization.

38682024464424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 57.

The spelling of 38682024464424 in words is "thirty-eight trillion, six hundred eighty-two billion, twenty-four million, four hundred sixty-four thousand, four hundred twenty-four".