3496854528000 has 336 divisors, whose sum is σ = 12606589926216. Its totient is φ = 932492083200.

The previous prime is 3496854527987. The next prime is 3496854528001. The reversal of 3496854528000 is 8254586943.

3496854528000 is a `hidden beast` number, since 3 + 4 + 9 + 68 + 54 + 528 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 134061428736 + 3362793099264 = 366144^2 + 1833792^2 .

It is not an unprimeable number, because it can be changed into a prime (3496854528001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9026284 + ... + 9405716.

Almost surely, 2^{3496854528000} is an apocalyptic number.

3496854528000 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 3496854528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303294963108).

3496854528000 is an abundant number, since it is smaller than the sum of its proper divisors (9109735398216).

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

3496854528000 is an equidigital number, since it uses as much as digits as its factorization.

3496854528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379480 (or 379443 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 3496854528000 in words is "three trillion, four hundred ninety-six billion, eight hundred fifty-four million, five hundred twenty-eight thousand".