3496755225600 has 3696 divisors, whose sum is σ = 16779208561920. Its totient is φ = 702303436800.

The previous prime is 3496755225589. The next prime is 3496755225617. The reversal of 3496755225600 is 65225576943.

It is a happy number.

3496755225600 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 7 + 5 + 5 + 2 + 25 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 335 ways as a sum of consecutive naturals, for example, 49250073565 + ... + 49250073635.

Almost surely, 2^{3496755225600} is an apocalyptic number.

3496755225600 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 3496755225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8389604280960).

3496755225600 is an abundant number, since it is smaller than the sum of its proper divisors (13282453336320).

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

3496755225600 is a wasteful number, since it uses less digits than its factorization.

3496755225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 3496755225600 in words is "three trillion, four hundred ninety-six billion, seven hundred fifty-five million, two hundred twenty-five thousand, six hundred".