334098901344 has 288 divisors, whose sum is σ = 968652929664. Its totient is φ = 100764119040.

The previous prime is 334098901321. The next prime is 334098901349. The reversal of 334098901344 is 443109890433.

It is a happy number.

It is a super-2 number, since 2×334098901344² (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 = 334098901293 and 334098901302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334098901349) 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, 184482199 + ... + 184484009.

It is an arithmetic number, because the mean of its divisors is an integer number (3363378228).

Almost surely, 2^334098901344 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 334098901344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484326464832).

334098901344 is an abundant number, since it is smaller than the sum of its proper divisors (634554028320).

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

334098901344 is a wasteful number, since it uses less digits than its factorization.

334098901344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 334098901344 in words is "three hundred thirty-four billion, ninety-eight million, nine hundred one thousand, three hundred forty-four".