378526752 has 72 divisors (see below), whose sum is σ = 1083782700. Its totient is φ = 125314560.

The previous prime is 378526747. The next prime is 378526783. The reversal of 378526752 is 257625873.

378526752 is a `hidden beast` number, since 3 + 78 + 526 + 7 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 370023696 + 8503056 = 19236^2 + 2916^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 378526698 and 378526707.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38502 + ... + 47322.

Almost surely, 2^378526752 is an apocalyptic number.

378526752 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 378526752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541891350).

378526752 is an abundant number, since it is smaller than the sum of its proper divisors (705255948).

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

378526752 is a wasteful number, since it uses less digits than its factorization.

378526752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8986 (or 8975 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 378526752 is about 19455.7639788316. The cubic root of 378526752 is about 723.3783824270.

The spelling of 378526752 in words is "three hundred seventy-eight million, five hundred twenty-six thousand, seven hundred fifty-two".