340906855234176 has 1024 divisors, whose sum is σ = 1294320848486400. Its totient is φ = 85769510584320.

The previous prime is 340906855234159. The next prime is 340906855234219. The reversal of 340906855234176 is 671432558609043.

340906855234176 is a `hidden beast` number, since 3 + 4 + 0 + 9 + 0 + 6 + 8 + 552 + 3 + 4 + 1 + 76 = 666.

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

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, 1213064110 + ... + 1213345106.

It is an arithmetic number, because the mean of its divisors is an integer number (1263985203600).

It is a 1-persistent number, because it is pandigital, but 2⋅340906855234176 = 681813710468352 is not.

Almost surely, 2^{340906855234176} is an apocalyptic number.

340906855234176 is a gapful number since it is divisible by the number (36) 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 340906855234176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647160424243200).

340906855234176 is an abundant number, since it is smaller than the sum of its proper divisors (953413993252224).

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

340906855234176 is a wasteful number, since it uses less digits than its factorization.

340906855234176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281182 (or 281164 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 340906855234176 in words is "three hundred forty trillion, nine hundred six billion, eight hundred fifty-five million, two hundred thirty-four thousand, one hundred seventy-six".