345950784 has 224 divisors, whose sum is σ = 1100937600. Its totient is φ = 106168320.

The previous prime is 345950783. The next prime is 345950789. The reversal of 345950784 is 487059543.

It is not an unprimeable number, because it can be changed into a prime (345950783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1345984 + ... + 1346240.

It is an arithmetic number, because the mean of its divisors is an integer number (4914900).

Almost surely, 2^345950784 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 345950784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550468800).

345950784 is an abundant number, since it is smaller than the sum of its proper divisors (754986816).

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

345950784 is a wasteful number, since it uses less digits than its factorization.

345950784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 345950784 is about 18599.7522564146. The cubic root of 345950784 is about 702.0016071261.

The spelling of 345950784 in words is "three hundred forty-five million, nine hundred fifty thousand, seven hundred eighty-four".