353794292320 has 384 divisors, whose sum is σ = 1056198528000. Its totient is φ = 111497895936.

The previous prime is 353794292309. The next prime is 353794292329. The reversal of 353794292320 is 23292497353.

It is a happy number.

It is a super-2 number, since 2×353794292320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353794292329) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 40112871 + ... + 40121689.

It is an arithmetic number, because the mean of its divisors is an integer number (2750517000).

Almost surely, 2^353794292320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353794292320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528099264000).

353794292320 is an abundant number, since it is smaller than the sum of its proper divisors (702404235680).

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

353794292320 is a wasteful number, since it uses less digits than its factorization.

353794292320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8915 (or 8893 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 49.

The spelling of 353794292320 in words is "three hundred fifty-three billion, seven hundred ninety-four million, two hundred ninety-two thousand, three hundred twenty".