345541440 has 112 divisors (see below), whose sum is σ = 1123980480. Its totient is φ = 89886720.

The previous prime is 345541423. The next prime is 345541447. The reversal of 345541440 is 44145543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 345541398 and 345541407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345541447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34971 + ... + 43749.

It is an arithmetic number, because the mean of its divisors is an integer number (10035540).

Almost surely, 2^345541440 is an apocalyptic number.

345541440 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 345541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561990240).

345541440 is an abundant number, since it is smaller than the sum of its proper divisors (778439040).

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

345541440 is a wasteful number, since it uses less digits than its factorization.

345541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8840 (or 8830 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 345541440 is about 18588.7449818432. The cubic root of 345541440 is about 701.7246182472.

Adding to 345541440 its reverse (44145543), we get a palindrome (389686983).

The spelling of 345541440 in words is "three hundred forty-five million, five hundred forty-one thousand, four hundred forty".