345778500 has 96 divisors (see below), whose sum is σ = 1023684480. Its totient is φ = 90672000.

The previous prime is 345778471. The next prime is 345778501. The reversal of 345778500 is 5877543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345778501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89611 + ... + 93389.

It is an arithmetic number, because the mean of its divisors is an integer number (10663380).

Almost surely, 2^345778500 is an apocalyptic number.

345778500 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 345778500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511842240).

345778500 is an abundant number, since it is smaller than the sum of its proper divisors (677905980).

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

345778500 is a wasteful number, since it uses less digits than its factorization.

345778500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 345778500 is about 18595.1203276559. The cubic root of 345778500 is about 701.8850551649.

The spelling of 345778500 in words is "three hundred forty-five million, seven hundred seventy-eight thousand, five hundred".