345444510 has 96 divisors (see below), whose sum is σ = 884846592. Its totient is φ = 86293440.

The previous prime is 345444493. The next prime is 345444551. The reversal of 345444510 is 15444543.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1808515 + ... + 1808705.

It is an arithmetic number, because the mean of its divisors is an integer number (9217152).

Almost surely, 2^345444510 is an apocalyptic number.

345444510 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345444510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442423296).

345444510 is an abundant number, since it is smaller than the sum of its proper divisors (539402082).

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

345444510 is a wasteful number, since it uses less digits than its factorization.

345444510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 345444510 is about 18586.1375761614. The cubic root of 345444510 is about 701.6589970506.

The spelling of 345444510 in words is "three hundred forty-five million, four hundred forty-four thousand, five hundred ten".