378412398 has 240 divisors, whose sum is σ = 1123935120. Its totient is φ = 94058496.

The previous prime is 378412373. The next prime is 378412403. The reversal of 378412398 is 893214873.

378412398 is a `hidden beast` number, since 378 + 41 + 239 + 8 = 666.

It is a super-7 number, since 7×378412398⁷ (a number of 61 digits) contains 7777777 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1960590 + ... + 1960782.

It is an arithmetic number, because the mean of its divisors is an integer number (4683063).

Almost surely, 2^378412398 is an apocalyptic number.

378412398 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 378412398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561967560).

378412398 is an abundant number, since it is smaller than the sum of its proper divisors (745522722).

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

378412398 is a wasteful number, since it uses less digits than its factorization.

378412398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 378412398 is about 19452.8249362400. The cubic root of 378412398 is about 723.3055302066.

The spelling of 378412398 in words is "three hundred seventy-eight million, four hundred twelve thousand, three hundred ninety-eight".