345657780 has 144 divisors (see below), whose sum is σ = 1171183104. Its totient is φ = 85069440.

The previous prime is 345657773. The next prime is 345657797. The reversal of 345657780 is 87756543.

345657780 is a `hidden beast` number, since 3 + 4 + 565 + 7 + 7 + 80 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 60445 + ... + 65915.

It is an arithmetic number, because the mean of its divisors is an integer number (8133216).

Almost surely, 2^345657780 is an apocalyptic number.

345657780 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 345657780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585591552).

345657780 is an abundant number, since it is smaller than the sum of its proper divisors (825525324).

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

345657780 is a wasteful number, since it uses less digits than its factorization.

345657780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5508 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 345657780 is about 18591.8740314149. The cubic root of 345657780 is about 701.8033637290.

The spelling of 345657780 in words is "three hundred forty-five million, six hundred fifty-seven thousand, seven hundred eighty".