378292752 has 120 divisors (see below), whose sum is σ = 1107095808. Its totient is φ = 120441600.

The previous prime is 378292751. The next prime is 378292769. The reversal of 378292752 is 257292873.

378292752 is a `hidden beast` number, since 378 + 2 + 9 + 275 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 378292698 and 378292707.

It is not an unprimeable number, because it can be changed into a prime (378292751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370002 + ... + 371022.

Almost surely, 2^378292752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378292752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553547904).

378292752 is an abundant number, since it is smaller than the sum of its proper divisors (728803056).

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

378292752 is a wasteful number, since it uses less digits than its factorization.

378292752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1140 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 378292752 is about 19449.7494071260. The cubic root of 378292752 is about 723.2292908654.

The spelling of 378292752 in words is "three hundred seventy-eight million, two hundred ninety-two thousand, seven hundred fifty-two".