345770208 has 480 divisors, whose sum is σ = 1317254400. Its totient is φ = 86593536.

The previous prime is 345770147. The next prime is 345770209. The reversal of 345770208 is 802077543.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345770209) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5860483 + ... + 5860541.

It is an arithmetic number, because the mean of its divisors is an integer number (2744280).

Almost surely, 2^345770208 is an apocalyptic number.

345770208 is a gapful number since it is divisible by the number (38) 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 345770208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658627200).

345770208 is an abundant number, since it is smaller than the sum of its proper divisors (971484192).

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

345770208 is a wasteful number, since it uses less digits than its factorization.

345770208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 345770208 is about 18594.8973645998. The cubic root of 345770208 is about 701.8794445621.

The spelling of 345770208 in words is "three hundred forty-five million, seven hundred seventy thousand, two hundred eight".