345135648 has 192 divisors, whose sum is σ = 1100058624. Its totient is φ = 93312000.

The previous prime is 345135643. The next prime is 345135653. The reversal of 345135648 is 846531543.

It is an interprime number because it is at equal distance from previous prime (345135643) and next prime (345135653).

It is a super-3 number, since 3×345135648³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (345135643) 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, 425163 + ... + 425973.

It is an arithmetic number, because the mean of its divisors is an integer number (5729472).

Almost surely, 2^345135648 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 345135648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550029312).

345135648 is an abundant number, since it is smaller than the sum of its proper divisors (754922976).

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

345135648 is a wasteful number, since it uses less digits than its factorization.

345135648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 871 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 345135648 is about 18577.8267835611. The cubic root of 345135648 is about 701.4498168828.

The spelling of 345135648 in words is "three hundred forty-five million, one hundred thirty-five thousand, six hundred forty-eight".