345037440 has 384 divisors, whose sum is σ = 1312666560. Its totient is φ = 76185600.

The previous prime is 345037339. The next prime is 345037453. The reversal of 345037440 is 44730543.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 345037398 and 345037407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11130225 + ... + 11130255.

Almost surely, 2^345037440 is an apocalyptic number.

345037440 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 345037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656333280).

345037440 is an abundant number, since it is smaller than the sum of its proper divisors (967629120).

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

345037440 is a wasteful number, since it uses less digits than its factorization.

345037440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 345037440 is about 18575.1834445854. The cubic root of 345037440 is about 701.3832782922.

Adding to 345037440 its reverse (44730543), we get a palindrome (389767983).

The spelling of 345037440 in words is "three hundred forty-five million, thirty-seven thousand, four hundred forty".