345987180 has 384 divisors, whose sum is σ = 1376040960. Its totient is φ = 70087680.

The previous prime is 345987167. The next prime is 345987193. The reversal of 345987180 is 81789543.

It is an interprime number because it is at equal distance from previous prime (345987167) and next prime (345987193).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2203662 + ... + 2203818.

It is an arithmetic number, because the mean of its divisors is an integer number (3583440).

Almost surely, 2^345987180 is an apocalyptic number.

345987180 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 345987180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688020480).

345987180 is an abundant number, since it is smaller than the sum of its proper divisors (1030053780).

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

345987180 is a wasteful number, since it uses less digits than its factorization.

345987180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 345987180 is about 18600.7306308113. The cubic root of 345987180 is about 702.0262244568.

The spelling of 345987180 in words is "three hundred forty-five million, nine hundred eighty-seven thousand, one hundred eighty".