380426816 has 224 divisors, whose sum is σ = 1053388800. Its totient is φ = 131604480.

The previous prime is 380426807. The next prime is 380426821. The reversal of 380426816 is 618624083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×380426816³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 380426816.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1591625 + ... + 1591863.

Almost surely, 2^380426816 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 380426816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526694400).

380426816 is an abundant number, since it is smaller than the sum of its proper divisors (672961984).

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

380426816 is a wasteful number, since it uses less digits than its factorization.

380426816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 380426816 is about 19504.5332166653. The cubic root of 380426816 is about 724.5867266535.

The spelling of 380426816 in words is "three hundred eighty million, four hundred twenty-six thousand, eight hundred sixteen".