349528996800 has 420 divisors, whose sum is σ = 1287151598920. Its totient is φ = 93035796480.

The previous prime is 349528996759. The next prime is 349528996801. The reversal of 349528996800 is 8699825943.

349528996800 is a `hidden beast` number, since 3 + 49 + 528 + 9 + 9 + 68 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349528996801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 80220222 + ... + 80224578.

Almost surely, 2^349528996800 is an apocalyptic number.

349528996800 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 349528996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643575799460).

349528996800 is an abundant number, since it is smaller than the sum of its proper divisors (937622602120).

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

349528996800 is a wasteful number, since it uses less digits than its factorization.

349528996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 349528996800 in words is "three hundred forty-nine billion, five hundred twenty-eight million, nine hundred ninety-six thousand, eight hundred".