352045060920 has 1280 divisors, whose sum is σ = 1448979840000. Its totient is φ = 76558390272.

The previous prime is 352045060891. The next prime is 352045060937. The reversal of 352045060920 is 29060540253.

352045060920 is a `hidden beast` number, since 3 + 5 + 2 + 0 + 45 + 0 + 609 + 2 + 0 = 666.

It is a super-2 number, since 2×352045060920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2532698211 + ... + 2532698349.

It is an arithmetic number, because the mean of its divisors is an integer number (1132015500).

Almost surely, 2^352045060920 is an apocalyptic number.

352045060920 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 352045060920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724489920000).

352045060920 is an abundant number, since it is smaller than the sum of its proper divisors (1096934779080).

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

352045060920 is a wasteful number, since it uses less digits than its factorization.

352045060920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 352045060920 in words is "three hundred fifty-two billion, forty-five million, sixty thousand, nine hundred twenty".