340420878336 has 672 divisors, whose sum is σ = 1190522465280. Its totient is φ = 85465497600.

The previous prime is 340420878307. The next prime is 340420878341. The reversal of 340420878336 is 633878024043.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 410639970 + ... + 410640798.

Almost surely, 2^340420878336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340420878336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595261232640).

340420878336 is an abundant number, since it is smaller than the sum of its proper divisors (850101586944).

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

340420878336 is a wasteful number, since it uses less digits than its factorization.

340420878336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 340420878336 in words is "three hundred forty billion, four hundred twenty million, eight hundred seventy-eight thousand, three hundred thirty-six".