349152030864 has 240 divisors, whose sum is σ = 1208939956224. Its totient is φ = 91601280000.

The previous prime is 349152030859. The next prime is 349152030889. The reversal of 349152030864 is 468030251943.

349152030864 is a `hidden beast` number, since 3 + 4 + 91 + 520 + 30 + 8 + 6 + 4 = 666.

It is a super-3 number, since 3×349152030864³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2433114 + ... + 2572614.

Almost surely, 2^349152030864 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 349152030864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604469978112).

349152030864 is an abundant number, since it is smaller than the sum of its proper divisors (859787925360).

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

349152030864 is a wasteful number, since it uses less digits than its factorization.

349152030864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139726 (or 139717 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 349152030864 in words is "three hundred forty-nine billion, one hundred fifty-two million, thirty thousand, eight hundred sixty-four".