334047673344 has 264 divisors, whose sum is σ = 1129885832448. Its totient is φ = 86765199360.

The previous prime is 334047673339. The next prime is 334047673361. The reversal of 334047673344 is 443376740433.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×334047673344² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 334047673293 and 334047673302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1554937 + ... + 1756679.

Almost surely, 2^334047673344 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 334047673344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564942916224).

334047673344 is an abundant number, since it is smaller than the sum of its proper divisors (795838159104).

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

334047673344 is a wasteful number, since it uses less digits than its factorization.

334047673344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201791 (or 201766 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 48.

The spelling of 334047673344 in words is "three hundred thirty-four billion, forty-seven million, six hundred seventy-three thousand, three hundred forty-four".