340674398400 has 336 divisors, whose sum is σ = 1290547844096. Its totient is φ = 77064929280.

The previous prime is 340674398387. The next prime is 340674398431. The reversal of 340674398400 is 4893476043.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 340674398400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3206937 + ... + 3311463.

Almost surely, 2^340674398400 is an apocalyptic number.

340674398400 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 340674398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645273922048).

340674398400 is an abundant number, since it is smaller than the sum of its proper divisors (949873445696).

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

340674398400 is a wasteful number, since it uses less digits than its factorization.

340674398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104656 (or 104641 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 340674398400 in words is "three hundred forty billion, six hundred seventy-four million, three hundred ninety-eight thousand, four hundred".