345507840 has 288 divisors, whose sum is σ = 1257197760. Its totient is φ = 87588864.

The previous prime is 345507809. The next prime is 345507853. The reversal of 345507840 is 48705543.

345507840 is a `hidden beast` number, since 34 + 550 + 78 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 345507795 and 345507804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2119599 + ... + 2119761.

It is an arithmetic number, because the mean of its divisors is an integer number (4365270).

Almost surely, 2^345507840 is an apocalyptic number.

345507840 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 345507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628598880).

345507840 is an abundant number, since it is smaller than the sum of its proper divisors (911689920).

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

345507840 is a wasteful number, since it uses less digits than its factorization.

345507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 345507840 is about 18587.8411871847. The cubic root of 345507840 is about 701.7018725804.

The spelling of 345507840 in words is "three hundred forty-five million, five hundred seven thousand, eight hundred forty".