345977000 has 64 divisors (see below), whose sum is σ = 817689600. Its totient is φ = 137006400.

The previous prime is 345976993. The next prime is 345977029. The reversal of 345977000 is 779543.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101321 + ... + 104679.

It is an arithmetic number, because the mean of its divisors is an integer number (12776400).

Almost surely, 2^345977000 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 345977000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408844800).

345977000 is an abundant number, since it is smaller than the sum of its proper divisors (471712600).

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

345977000 is a wasteful number, since it uses less digits than its factorization.

345977000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 345977000 is about 18600.4569836335. The cubic root of 345977000 is about 702.0193391371.

The spelling of 345977000 in words is "three hundred forty-five million, nine hundred seventy-seven thousand".