378834527232 has 528 divisors, whose sum is σ = 1364799421440. Its totient is φ = 102532718592.

The previous prime is 378834527221. The next prime is 378834527237. The reversal of 378834527232 is 232725438873.

378834527232 is a `hidden beast` number, since 3 + 7 + 8 + 83 + 4 + 527 + 2 + 32 = 666.

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 (378834527237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33088933 + ... + 33100379.

Almost surely, 2^378834527232 is an apocalyptic number.

378834527232 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 378834527232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682399710720).

378834527232 is an abundant number, since it is smaller than the sum of its proper divisors (985964894208).

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

378834527232 is a wasteful number, since it uses less digits than its factorization.

378834527232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11508 (or 11478 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 378834527232 in words is "three hundred seventy-eight billion, eight hundred thirty-four million, five hundred twenty-seven thousand, two hundred thirty-two".