340004955907584 has 480 divisors, whose sum is σ = 1108915608921120. Its totient is φ = 99389354803200.

The previous prime is 340004955907583. The next prime is 340004955907621. The reversal of 340004955907584 is 485709559400043.

340004955907584 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 0 + 4 + 9 + 559 + 0 + 75 + 8 + 4 = 666.

It is a super-2 number, since 2×340004955907584² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340004955907583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184041384 + ... + 185879640.

It is an arithmetic number, because the mean of its divisors is an integer number (2310240851919).

Almost surely, 2^{340004955907584} 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 340004955907584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554457804460560).

340004955907584 is an abundant number, since it is smaller than the sum of its proper divisors (768910653013536).

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

340004955907584 is a wasteful number, since it uses less digits than its factorization.

340004955907584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838422 (or 1838403 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 340004955907584 in words is "three hundred forty trillion, four billion, nine hundred fifty-five million, nine hundred seven thousand, five hundred eighty-four".