345141888 has 384 divisors, whose sum is σ = 1230707520. Its totient is φ = 84639744.

The previous prime is 345141877. The next prime is 345141899. The reversal of 345141888 is 888141543.

It is an interprime number because it is at equal distance from previous prime (345141877) and next prime (345141899).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4158295 + ... + 4158377.

Almost surely, 2^345141888 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 345141888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615353760).

345141888 is an abundant number, since it is smaller than the sum of its proper divisors (885565632).

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

345141888 is a wasteful number, since it uses less digits than its factorization.

345141888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 345141888 is about 18577.9947249427. The cubic root of 345141888 is about 701.4540442259.

The spelling of 345141888 in words is "three hundred forty-five million, one hundred forty-one thousand, eight hundred eighty-eight".