350042098560 has 2048 divisors, whose sum is σ = 1563461222400. Its totient is φ = 64408780800.

The previous prime is 350042098559. The next prime is 350042098579. The reversal of 350042098560 is 65890240053.

It is a super-3 number, since 3×350042098560³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 4430912601 + ... + 4430912679.

It is an arithmetic number, because the mean of its divisors is an integer number (763408800).

Almost surely, 2^350042098560 is an apocalyptic number.

350042098560 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 350042098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781730611200).

350042098560 is an abundant number, since it is smaller than the sum of its proper divisors (1213419123840).

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

350042098560 is a wasteful number, since it uses less digits than its factorization.

350042098560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 350042098560 in words is "three hundred fifty billion, forty-two million, ninety-eight thousand, five hundred sixty".