378017472 has 224 divisors, whose sum is σ = 1213087744. Its totient is φ = 101606400.

The previous prime is 378017467. The next prime is 378017473. The reversal of 378017472 is 274710873.

378017472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 378017472.

It is not an unprimeable number, because it can be changed into a prime (378017473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1791447 + ... + 1791657.

Almost surely, 2^378017472 is an apocalyptic number.

378017472 is a gapful number since it is divisible by the number (32) 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 378017472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606543872).

378017472 is an abundant number, since it is smaller than the sum of its proper divisors (835070272).

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

378017472 is a wasteful number, since it uses less digits than its factorization.

378017472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 378017472 is about 19442.6714213865. The cubic root of 378017472 is about 723.0538192941.

The spelling of 378017472 in words is "three hundred seventy-eight million, seventeen thousand, four hundred seventy-two".