353670506880 has 768 divisors, whose sum is σ = 1243503705600. Its totient is φ = 85317320704.

The previous prime is 353670506873. The next prime is 353670506911. The reversal of 353670506880 is 88605076353.

It is a super-3 number, since 3×353670506880³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3305331787 + ... + 3305331893.

It is an arithmetic number, because the mean of its divisors is an integer number (1619145450).

Almost surely, 2^353670506880 is an apocalyptic number.

353670506880 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 353670506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621751852800).

353670506880 is an abundant number, since it is smaller than the sum of its proper divisors (889833198720).

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

353670506880 is a wasteful number, since it uses less digits than its factorization.

353670506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 353670506880 in words is "three hundred fifty-three billion, six hundred seventy million, five hundred six thousand, eight hundred eighty".