346486091640 has 288 divisors, whose sum is σ = 1176669108720. Its totient is φ = 81578145792.

The previous prime is 346486091629. The next prime is 346486091657. The reversal of 346486091640 is 46190684643.

It is a super-2 number, since 2×346486091640² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10711972 + ... + 10744268.

Almost surely, 2^346486091640 is an apocalyptic number.

346486091640 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 346486091640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588334554360).

346486091640 is an abundant number, since it is smaller than the sum of its proper divisors (830183017080).

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

346486091640 is a wasteful number, since it uses less digits than its factorization.

346486091640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32383 (or 32343 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 346486091640 in words is "three hundred forty-six billion, four hundred eighty-six million, ninety-one thousand, six hundred forty".