346252234680 has 256 divisors, whose sum is σ = 1264377600000. Its totient is φ = 83588037120.

The previous prime is 346252234673. The next prime is 346252234709. The reversal of 346252234680 is 86432252643.

346252234680 is a `hidden beast` number, since 3 + 4 + 6 + 2 + 522 + 3 + 46 + 80 = 666.

It is a super-2 number, since 2×346252234680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2778346 + ... + 2900294.

It is an arithmetic number, because the mean of its divisors is an integer number (4938975000).

Almost surely, 2^346252234680 is an apocalyptic number.

346252234680 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 346252234680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632188800000).

346252234680 is an abundant number, since it is smaller than the sum of its proper divisors (918125365320).

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

346252234680 is a wasteful number, since it uses less digits than its factorization.

346252234680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122219 (or 122209 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 346252234680 in words is "three hundred forty-six billion, two hundred fifty-two million, two hundred thirty-four thousand, six hundred eighty".