340657354752 has 768 divisors, whose sum is σ = 1115882127360. Its totient is φ = 91039334400.

The previous prime is 340657354717. The next prime is 340657354771. The reversal of 340657354752 is 257453756043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 340657354695 and 340657354704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2682341313 + ... + 2682341439.

It is an arithmetic number, because the mean of its divisors is an integer number (1452971520).

Almost surely, 2^340657354752 is an apocalyptic number.

340657354752 is a gapful number since it is divisible by the number (32) 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 340657354752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557941063680).

340657354752 is an abundant number, since it is smaller than the sum of its proper divisors (775224772608).

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

340657354752 is a wasteful number, since it uses less digits than its factorization.

340657354752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 51.

The spelling of 340657354752 in words is "three hundred forty billion, six hundred fifty-seven million, three hundred fifty-four thousand, seven hundred fifty-two".