345967440 has 480 divisors, whose sum is σ = 1405910016. Its totient is φ = 69672960.

The previous prime is 345967439. The next prime is 345967483. The reversal of 345967440 is 44769543.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 345967392 and 345967401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4739244 + ... + 4739316.

Almost surely, 2^345967440 is an apocalyptic number.

345967440 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 345967440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702955008).

345967440 is an abundant number, since it is smaller than the sum of its proper divisors (1059942576).

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

345967440 is a wasteful number, since it uses less digits than its factorization.

345967440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 345967440 is about 18600.1999989247. The cubic root of 345967440 is about 702.0128730361.

The spelling of 345967440 in words is "three hundred forty-five million, nine hundred sixty-seven thousand, four hundred forty".