378735188832 has 1344 divisors, whose sum is σ = 1536271833600. Its totient is φ = 90531302400.

The previous prime is 378735188831. The next prime is 378735188861. The reversal of 378735188832 is 238881537873.

378735188832 is a `hidden beast` number, since 3 + 7 + 8 + 7 + 3 + 518 + 88 + 32 = 666.

It is a super-2 number, since 2×378735188832² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 378735188832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378735188831) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1144214907 + ... + 1144215237.

It is an arithmetic number, because the mean of its divisors is an integer number (1143059400).

Almost surely, 2^378735188832 is an apocalyptic number.

378735188832 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 378735188832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768135916800).

378735188832 is an abundant number, since it is smaller than the sum of its proper divisors (1157536644768).

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

378735188832 is a wasteful number, since it uses less digits than its factorization.

378735188832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 367 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 378735188832 in words is "three hundred seventy-eight billion, seven hundred thirty-five million, one hundred eighty-eight thousand, eight hundred thirty-two".