378018432 has 192 divisors, whose sum is σ = 1239226560. Its totient is φ = 109486080.

The previous prime is 378018391. The next prime is 378018467. The reversal of 378018432 is 234810873.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290808 + ... + 292104.

It is an arithmetic number, because the mean of its divisors is an integer number (6454305).

Almost surely, 2^378018432 is an apocalyptic number.

378018432 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 378018432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619613280).

378018432 is an abundant number, since it is smaller than the sum of its proper divisors (861208128).

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

378018432 is a wasteful number, since it uses less digits than its factorization.

378018432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 378018432 is about 19442.6961093363. The cubic root of 378018432 is about 723.0544313743.

The spelling of 378018432 in words is "three hundred seventy-eight million, eighteen thousand, four hundred thirty-two".