345319416 has 128 divisors (see below), whose sum is σ = 1066598400. Its totient is φ = 102798720.

The previous prime is 345319397. The next prime is 345319417. The reversal of 345319416 is 614913543.

345319416 is a `hidden beast` number, since 3 + 453 + 194 + 16 = 666.

It is a super-3 number, since 3×345319416³ (a number of 27 digits) contains 333 as substring.

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 (345319417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85065 + ... + 89031.

It is an arithmetic number, because the mean of its divisors is an integer number (8332800).

Almost surely, 2^345319416 is an apocalyptic number.

345319416 is a gapful number since it is divisible by the number (36) 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 345319416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533299200).

345319416 is an abundant number, since it is smaller than the sum of its proper divisors (721278984).

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

345319416 is a wasteful number, since it uses less digits than its factorization.

345319416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4016 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 345319416 is about 18582.7720214181. The cubic root of 345319416 is about 701.5742908001.

The spelling of 345319416 in words is "three hundred forty-five million, three hundred nineteen thousand, four hundred sixteen".