345952474920 has 384 divisors, whose sum is σ = 1228297543200. Its totient is φ = 83936673792.

The previous prime is 345952474909. The next prime is 345952474937. The reversal of 345952474920 is 29474259543.

It is a happy number.

345952474920 is a `hidden beast` number, since 3 + 4 + 59 + 524 + 7 + 49 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 15922906596 + 330029568324 = 126186^2 + 574482^2 .

It is a super-2 number, since 2×345952474920² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122113824 + ... + 122116656.

Almost surely, 2^345952474920 is an apocalyptic number.

345952474920 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 345952474920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614148771600).

345952474920 is an abundant number, since it is smaller than the sum of its proper divisors (882345068280).

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

345952474920 is a wasteful number, since it uses less digits than its factorization.

345952474920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 345952474920 in words is "three hundred forty-five billion, nine hundred fifty-two million, four hundred seventy-four thousand, nine hundred twenty".