345269760 has 320 divisors, whose sum is σ = 1242134784. Its totient is φ = 81100800.

The previous prime is 345269759. The next prime is 345269761. The reversal of 345269760 is 67962543.

It is an interprime number because it is at equal distance from previous prime (345269759) and next prime (345269761).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×345269760² = 238422414340915200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345269761) 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, 5153247 + ... + 5153313.

Almost surely, 2^345269760 is an apocalyptic number.

345269760 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 345269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621067392).

345269760 is an abundant number, since it is smaller than the sum of its proper divisors (896865024).

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

345269760 is a wasteful number, since it uses less digits than its factorization.

345269760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 345269760 is about 18581.4358971528. The cubic root of 345269760 is about 701.5406610249.

The spelling of 345269760 in words is "three hundred forty-five million, two hundred sixty-nine thousand, seven hundred sixty".