340704377919360 has 1024 divisors, whose sum is σ = 1490485002854400. Its totient is φ = 71625275965440.

The previous prime is 340704377919341. The next prime is 340704377919377. The reversal of 340704377919360 is 63919773407043.

340704377919360 is a `hidden beast` number, since 3 + 4 + 0 + 7 + 0 + 437 + 7 + 9 + 193 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 435185865 + ... + 435968055.

It is an arithmetic number, because the mean of its divisors is an integer number (1455551760600).

Almost surely, 2^{340704377919360} is an apocalyptic number.

340704377919360 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 340704377919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745242501427200).

340704377919360 is an abundant number, since it is smaller than the sum of its proper divisors (1149780624935040).

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

340704377919360 is a wasteful number, since it uses less digits than its factorization.

340704377919360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782516 (or 782498 counting only the distinct ones).

The product of its (nonzero) digits is 72013536, while the sum is 63.

The spelling of 340704377919360 in words is "three hundred forty trillion, seven hundred four billion, three hundred seventy-seven million, nine hundred nineteen thousand, three hundred sixty".