380001024 has 144 divisors (see below), whose sum is σ = 1210456800. Its totient is φ = 116895744.

The previous prime is 380000987. The next prime is 380001029. The reversal of 380001024 is 420100083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 380000988 and 380001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380001029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87742 + ... + 91970.

It is an arithmetic number, because the mean of its divisors is an integer number (8405950).

Almost surely, 2^380001024 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 380001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605228400).

380001024 is an abundant number, since it is smaller than the sum of its proper divisors (830455776).

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

380001024 is a wasteful number, since it uses less digits than its factorization.

380001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 380001024 is about 19493.6149546460. The cubic root of 380001024 is about 724.3162949569.

The spelling of 380001024 in words is "three hundred eighty million, one thousand, twenty-four".