381749004 has 288 divisors, whose sum is σ = 1287014400. Its totient is φ = 96888960.

The previous prime is 381748949. The next prime is 381749021. The reversal of 381749004 is 400947183.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 381749004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2132587 + ... + 2132765.

It is an arithmetic number, because the mean of its divisors is an integer number (4468800).

Almost surely, 2^381749004 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 381749004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643507200).

381749004 is an abundant number, since it is smaller than the sum of its proper divisors (905265396).

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

381749004 is a wasteful number, since it uses less digits than its factorization.

381749004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 381749004 is about 19538.3981943249. The cubic root of 381749004 is about 725.4251990143.

The spelling of 381749004 in words is "three hundred eighty-one million, seven hundred forty-nine thousand, four".