378971610336 has 576 divisors, whose sum is σ = 1269315919872. Its totient is φ = 110185920000.

The previous prime is 378971610331. The next prime is 378971610337. The reversal of 378971610336 is 633016179873.

It is a super-2 number, since 2×378971610336² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378971610331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347361151 + ... + 347362241.

It is an arithmetic number, because the mean of its divisors is an integer number (2203673472).

Almost surely, 2^378971610336 is an apocalyptic number.

378971610336 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 378971610336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634657959936).

378971610336 is an abundant number, since it is smaller than the sum of its proper divisors (890344309536).

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

378971610336 is a wasteful number, since it uses less digits than its factorization.

378971610336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 378971610336 in words is "three hundred seventy-eight billion, nine hundred seventy-one million, six hundred ten thousand, three hundred thirty-six".