345409949808 has 400 divisors, whose sum is σ = 1260436826880. Its totient is φ = 88706534400.

The previous prime is 345409949789. The next prime is 345409949837. The reversal of 345409949808 is 808949904543.

345409949808 is a `hidden beast` number, since 3 + 4 + 54 + 0 + 99 + 498 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 79 ways as a sum of consecutive naturals, for example, 8862043 + ... + 8900933.

Almost surely, 2^345409949808 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 345409949808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630218413440).

345409949808 is an abundant number, since it is smaller than the sum of its proper divisors (915026877072).

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

345409949808 is a wasteful number, since it uses less digits than its factorization.

345409949808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39018 (or 39003 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 345409949808 in words is "three hundred forty-five billion, four hundred nine million, nine hundred forty-nine thousand, eight hundred eight".