334049579640 has 384 divisors, whose sum is σ = 1267643520000. Its totient is φ = 76259780352.

The previous prime is 334049579623. The next prime is 334049579663. The reversal of 334049579640 is 46975940433.

It is a happy number.

334049579640 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 4 + 9 + 579 + 64 + 0 = 666.

It is a super-2 number, since 2×334049579640² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168796171 + ... + 168798149.

It is an arithmetic number, because the mean of its divisors is an integer number (3301155000).

Almost surely, 2^334049579640 is an apocalyptic number.

334049579640 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 334049579640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633821760000).

334049579640 is an abundant number, since it is smaller than the sum of its proper divisors (933593940360).

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

334049579640 is a wasteful number, since it uses less digits than its factorization.

334049579640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 334049579640 in words is "three hundred thirty-four billion, forty-nine million, five hundred seventy-nine thousand, six hundred forty".