345386880 has 192 divisors, whose sum is σ = 1213449120. Its totient is φ = 90501120.

The previous prime is 345386861. The next prime is 345386891. The reversal of 345386880 is 88683543.

345386880 is a `hidden beast` number, since 34 + 538 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×345386880² = 238584193752268800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 350869 + ... + 351851.

Almost surely, 2^345386880 is an apocalyptic number.

345386880 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 345386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606724560).

345386880 is an abundant number, since it is smaller than the sum of its proper divisors (868062240).

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

345386880 is a wasteful number, since it uses less digits than its factorization.

345386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 345386880 is about 18584.5871624849. The cubic root of 345386880 is about 701.6199759675.

The spelling of 345386880 in words is "three hundred forty-five million, three hundred eighty-six thousand, eight hundred eighty".