340478208000 has 1536 divisors, whose sum is σ = 1491465830400. Its totient is φ = 74981376000.

The previous prime is 340478207983. The next prime is 340478208013. The reversal of 340478208000 is 802874043.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1499903887 + ... + 1499904113.

It is an arithmetic number, because the mean of its divisors is an integer number (971006400).

Almost surely, 2^340478208000 is an apocalyptic number.

340478208000 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 340478208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745732915200).

340478208000 is an abundant number, since it is smaller than the sum of its proper divisors (1150987622400).

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

340478208000 is a wasteful number, since it uses less digits than its factorization.

340478208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 340478208000 in words is "three hundred forty billion, four hundred seventy-eight million, two hundred eight thousand".