378832896 has 384 divisors, whose sum is σ = 1320883200. Its totient is φ = 106168320.

The previous prime is 378832891. The next prime is 378832901. The reversal of 378832896 is 698238873.

It is an interprime number because it is at equal distance from previous prime (378832891) and next prime (378832901).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (378832891) 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, 12220401 + ... + 12220431.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^378832896 is an apocalyptic number.

378832896 is a gapful number since it is divisible by the number (36) 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 378832896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

378832896 is an abundant number, since it is smaller than the sum of its proper divisors (942050304).

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

378832896 is a wasteful number, since it uses less digits than its factorization.

378832896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 378832896 is about 19463.6300827980. The cubic root of 378832896 is about 723.5733473128.

The spelling of 378832896 in words is "three hundred seventy-eight million, eight hundred thirty-two thousand, eight hundred ninety-six".