378976411296 has 288 divisors, whose sum is σ = 1249904912256. Its totient is φ = 106686720000.

The previous prime is 378976411291. The next prime is 378976411313. The reversal of 378976411296 is 692114679873.

378976411296 is a `hidden beast` number, since 378 + 9 + 7 + 64 + 112 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (378976411291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42958566 + ... + 42967386.

It is an arithmetic number, because the mean of its divisors is an integer number (4339947612).

Almost surely, 2^378976411296 is an apocalyptic number.

378976411296 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 378976411296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624952456128).

378976411296 is an abundant number, since it is smaller than the sum of its proper divisors (870928500960).

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

378976411296 is a wasteful number, since it uses less digits than its factorization.

378976411296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9156 (or 9145 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 378976411296 in words is "three hundred seventy-eight billion, nine hundred seventy-six million, four hundred eleven thousand, two hundred ninety-six".