378906336 has 120 divisors (see below), whose sum is σ = 1180040400. Its totient is φ = 118858752.

The previous prime is 378906331. The next prime is 378906389. The reversal of 378906336 is 633609873.

It is a happy number.

378906336 is a `hidden beast` number, since 3 + 7 + 8 + 9 + 0 + 633 + 6 = 666.

It is a super-2 number, since 2×378906336² = 287140022921889792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 378906291 and 378906300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378906331) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39765 + ... + 48363.

It is an arithmetic number, because the mean of its divisors is an integer number (9833670).

Almost surely, 2^378906336 is an apocalyptic number.

378906336 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 378906336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590020200).

378906336 is an abundant number, since it is smaller than the sum of its proper divisors (801134064).

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

378906336 is a wasteful number, since it uses less digits than its factorization.

378906336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8638 (or 8621 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 378906336 is about 19465.5165870315. The cubic root of 378906336 is about 723.6201012543.

The spelling of 378906336 in words is "three hundred seventy-eight million, nine hundred six thousand, three hundred thirty-six".