345526020 has 384 divisors, whose sum is σ = 1374105600. Its totient is φ = 70170624.

The previous prime is 345526019. The next prime is 345526043. The reversal of 345526020 is 20625543.

345526020 is a `hidden beast` number, since 3 + 4 + 5 + 52 + 602 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1220799 + ... + 1221081.

It is an arithmetic number, because the mean of its divisors is an integer number (3578400).

Almost surely, 2^345526020 is an apocalyptic number.

345526020 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 345526020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687052800).

345526020 is an abundant number, since it is smaller than the sum of its proper divisors (1028579580).

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

345526020 is a wasteful number, since it uses less digits than its factorization.

345526020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 345526020 is about 18588.3302101076. The cubic root of 345526020 is about 701.7141797939.

The spelling of 345526020 in words is "three hundred forty-five million, five hundred twenty-six thousand, twenty".