345776760 has 192 divisors, whose sum is σ = 1314593280. Its totient is φ = 77172480.

The previous prime is 345776741. The next prime is 345776771. The reversal of 345776760 is 67677543.

345776760 is a `hidden beast` number, since 3 + 4 + 577 + 6 + 76 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106765 + ... + 109955.

It is an arithmetic number, because the mean of its divisors is an integer number (6846840).

Almost surely, 2^345776760 is an apocalyptic number.

345776760 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 345776760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657296640).

345776760 is an abundant number, since it is smaller than the sum of its proper divisors (968816520).

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

345776760 is a wasteful number, since it uses less digits than its factorization.

345776760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The square root of 345776760 is about 18595.0735411291. The cubic root of 345776760 is about 701.8838778389.

The spelling of 345776760 in words is "three hundred forty-five million, seven hundred seventy-six thousand, seven hundred sixty".