345309287984640 has 4480 divisors, whose sum is σ = 1592395957278720. Its totient is φ = 69925343330304.

The previous prime is 345309287984597. The next prime is 345309287984641. The reversal of 345309287984640 is 46489782903543.

345309287984640 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 0 + 92 + 8 + 79 + 8 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345309287984641) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 342229224456 + ... + 342229225464.

Almost surely, 2^{345309287984640} is an apocalyptic number.

345309287984640 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 345309287984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796197978639360).

345309287984640 is an abundant number, since it is smaller than the sum of its proper divisors (1247086669294080).

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

345309287984640 is a wasteful number, since it uses less digits than its factorization.

345309287984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 345309287984640 in words is "three hundred forty-five trillion, three hundred nine billion, two hundred eighty-seven million, nine hundred eighty-four thousand, six hundred forty".