340682342400 has 621 divisors, whose sum is σ = 1288011884601. Its totient is φ = 86067118080.

The previous prime is 340682342387. The next prime is 340682342401. The reversal of 340682342400 is 4243286043.

The square root of 340682342400 is 583680.

It is a perfect power (a square), and thus also a powerful number.

340682342400 is a `hidden beast` number, since 3 + 406 + 8 + 2 + 3 + 4 + 240 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122645643264 + 218036699136 = 350208^2 + 466944^2 .

It is a super-3 number, since 3×340682342400³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (340682342401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17930649591 + ... + 17930649609.

Almost surely, 2^340682342400 is an apocalyptic number.

340682342400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

340682342400 is the 583680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340682342400

340682342400 is an abundant number, since it is smaller than the sum of its proper divisors (947329542201).

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

340682342400 is an frugal number, since it uses more digits than its factorization.

340682342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Multiplying 340682342400 by its sum of digits (36), we get a square (12264564326400 = 3502080²).

340682342400 divided by its sum of digits (36) gives a square (9463398400 = 97280²).

The spelling of 340682342400 in words is "three hundred forty billion, six hundred eighty-two million, three hundred forty-two thousand, four hundred".