345677557540 has 192 divisors, whose sum is σ = 895802664960. Its totient is φ = 109393320960.

The previous prime is 345677557531. The next prime is 345677557549. The reversal of 345677557540 is 45755776543.

It is an interprime number because it is at equal distance from previous prime (345677557531) and next prime (345677557549).

It is not an unprimeable number, because it can be changed into a prime (345677557549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103278147 + ... + 103281493.

It is an arithmetic number, because the mean of its divisors is an integer number (4665638880).

Almost surely, 2^345677557540 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 345677557540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447901332480).

345677557540 is an abundant number, since it is smaller than the sum of its proper divisors (550125107420).

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

345677557540 is a wasteful number, since it uses less digits than its factorization.

345677557540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 61740000, while the sum is 58.

The spelling of 345677557540 in words is "three hundred forty-five billion, six hundred seventy-seven million, five hundred fifty-seven thousand, five hundred forty".