319675343400 has 432 divisors, whose sum is σ = 1269348516540. Its totient is φ = 71869593600.

The previous prime is 319675343369. The next prime is 319675343401. The reversal of 319675343400 is 4343576913.

319675343400 is a `hidden beast` number, since 3 + 19 + 67 + 534 + 3 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 68487936804 + 251187406596 = 261702^2 + 501186^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (319675343401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5350492 + ... + 5409908.

Almost surely, 2^319675343400 is an apocalyptic number.

319675343400 is a gapful number since it is divisible by the number (30) 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 319675343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634674258270).

319675343400 is an abundant number, since it is smaller than the sum of its proper divisors (949673173140).

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

319675343400 is a wasteful number, since it uses less digits than its factorization.

319675343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59514 (or 59495 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 319675343400 in words is "three hundred nineteen billion, six hundred seventy-five million, three hundred forty-three thousand, four hundred".