345555540 has 144 divisors (see below), whose sum is σ = 1150531200. Its totient is φ = 83255040.

The previous prime is 345555493. The next prime is 345555541. The reversal of 345555540 is 45555543.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 345555495 and 345555504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345555541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393582 + ... + 394458.

It is an arithmetic number, because the mean of its divisors is an integer number (7989800).

Almost surely, 2^345555540 is an apocalyptic number.

345555540 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 345555540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575265600).

345555540 is an abundant number, since it is smaller than the sum of its proper divisors (804975660).

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

345555540 is a wasteful number, since it uses less digits than its factorization.

345555540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 36.

The square root of 345555540 is about 18589.1242397268. The cubic root of 345555540 is about 701.7341628647.

The spelling of 345555540 in words is "three hundred forty-five million, five hundred fifty-five thousand, five hundred forty".