345648576 has 224 divisors, whose sum is σ = 1145202688. Its totient is φ = 89579520.

The previous prime is 345648571. The next prime is 345648629. The reversal of 345648576 is 675846543.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345648571) 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, 1275321 + ... + 1275591.

It is an arithmetic number, because the mean of its divisors is an integer number (5112512).

Almost surely, 2^345648576 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 345648576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572601344).

345648576 is an abundant number, since it is smaller than the sum of its proper divisors (799554112).

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

345648576 is a wasteful number, since it uses less digits than its factorization.

345648576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 369 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The square root of 345648576 is about 18591.6265022725. The cubic root of 345648576 is about 701.7971345858.

The spelling of 345648576 in words is "three hundred forty-five million, six hundred forty-eight thousand, five hundred seventy-six".