345769536 has 224 divisors, whose sum is σ = 1110089728. Its totient is φ = 92897280.

The previous prime is 345769531. The next prime is 345769547. The reversal of 345769536 is 635967543.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345769531) 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, 1791456 + ... + 1791648.

Almost surely, 2^345769536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345769536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555044864).

345769536 is an abundant number, since it is smaller than the sum of its proper divisors (764320192).

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

345769536 is a wasteful number, since it uses less digits than its factorization.

345769536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 279 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 48.

The square root of 345769536 is about 18594.8792951178. The cubic root of 345769536 is about 701.8789898639.

The spelling of 345769536 in words is "three hundred forty-five million, seven hundred sixty-nine thousand, five hundred thirty-six".