334084938909696 has 1152 divisors, whose sum is σ = 1098548969656320. Its totient is φ = 97088805273600.

The previous prime is 334084938909691. The next prime is 334084938909767. The reversal of 334084938909696 is 696909839480433.

334084938909696 is a `hidden beast` number, since 3 + 3 + 40 + 8 + 493 + 89 + 0 + 9 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×334084938909696² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334084938909691) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146979734416 + ... + 146979736688.

It is an arithmetic number, because the mean of its divisors is an integer number (953601536160).

Almost surely, 2^{334084938909696} is an apocalyptic number.

334084938909696 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 334084938909696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549274484828160).

334084938909696 is an abundant number, since it is smaller than the sum of its proper divisors (764464030746624).

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

334084938909696 is a wasteful number, since it uses less digits than its factorization.

334084938909696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 6530347008, while the sum is 81.

The spelling of 334084938909696 in words is "three hundred thirty-four trillion, eighty-four billion, nine hundred thirty-eight million, nine hundred nine thousand, six hundred ninety-six".