334740696840 has 480 divisors, whose sum is σ = 1226669535000. Its totient is φ = 79118899200.

The previous prime is 334740696833. The next prime is 334740696863. The reversal of 334740696840 is 48696047433.

334740696840 is a `hidden beast` number, since 3 + 3 + 474 + 0 + 6 + 96 + 84 + 0 = 666.

334740696840 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 153126646596 + 181614050244 = 391314^2 + 426162^2 .

It is a super-2 number, since 2×334740696840² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 216100386 + ... + 216101934.

Almost surely, 2^334740696840 is an apocalyptic number.

334740696840 is a gapful number since it is divisible by the number (30) 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 334740696840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613334767500).

334740696840 is an abundant number, since it is smaller than the sum of its proper divisors (891928838160).

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

334740696840 is a wasteful number, since it uses less digits than its factorization.

334740696840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 334740696840 in words is "three hundred thirty-four billion, seven hundred forty million, six hundred ninety-six thousand, eight hundred forty".