340806916800 has 1764 divisors, whose sum is σ = 1501107706440. Its totient is φ = 75873853440.

The previous prime is 340806916783. The next prime is 340806916819. The reversal of 340806916800 is 8619608043.

340806916800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1764).

It is a super-2 number, since 2×340806916800² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 3829291156 + ... + 3829291244.

Almost surely, 2^340806916800 is an apocalyptic number.

340806916800 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 340806916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750553853220).

340806916800 is an abundant number, since it is smaller than the sum of its proper divisors (1160300789640).

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

340806916800 is an equidigital number, since it uses as much as digits as its factorization.

340806916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 340806916800 in words is "three hundred forty billion, eight hundred six million, nine hundred sixteen thousand, eight hundred".