378810432 has 560 divisors, whose sum is σ = 1528340352. Its totient is φ = 89579520.

The previous prime is 378810409. The next prime is 378810461. The reversal of 378810432 is 234018873.

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 79 ways as a sum of consecutive naturals, for example, 5189148 + ... + 5189220.

Almost surely, 2^378810432 is an apocalyptic number.

378810432 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 378810432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764170176).

378810432 is an abundant number, since it is smaller than the sum of its proper divisors (1149529920).

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

378810432 is a wasteful number, since it uses less digits than its factorization.

378810432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

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

The square root of 378810432 is about 19463.0529979240. The cubic root of 378810432 is about 723.5590449003.

The spelling of 378810432 in words is "three hundred seventy-eight million, eight hundred ten thousand, four hundred thirty-two".