334103730948 has 576 divisors, whose sum is σ = 1060228915200. Its totient is φ = 87534120960.

The previous prime is 334103730827. The next prime is 334103730949. The reversal of 334103730948 is 849037301433.

It is a happy number.

334103730948 is a `hidden beast` number, since 334 + 1 + 0 + 3 + 7 + 309 + 4 + 8 = 666.

It is a super-2 number, since 2×334103730948² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334103730949) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 388944543 + ... + 388945401.

It is an arithmetic number, because the mean of its divisors is an integer number (1840675200).

Almost surely, 2^334103730948 is an apocalyptic number.

334103730948 is a gapful number since it is divisible by the number (38) 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 334103730948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530114457600).

334103730948 is an abundant number, since it is smaller than the sum of its proper divisors (726125184252).

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

334103730948 is a wasteful number, since it uses less digits than its factorization.

334103730948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 334103730948 in words is "three hundred thirty-four billion, one hundred three million, seven hundred thirty thousand, nine hundred forty-eight".