3496729600 has 528 divisors, whose sum is σ = 11371494400. Its totient is φ = 1035141120.

The previous prime is 3496729597. The next prime is 3496729637. The reversal of 3496729600 is 69276943.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44262361 + ... + 44262439.

Almost surely, 2^3496729600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3496729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685747200).

3496729600 is an abundant number, since it is smaller than the sum of its proper divisors (7874764800).

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

3496729600 is a wasteful number, since it uses less digits than its factorization.

3496729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The square root of 3496729600 is about 59133.1514465448. The cubic root of 3496729600 is about 1517.8214404468.

The spelling of 3496729600 in words is "three billion, four hundred ninety-six million, seven hundred twenty-nine thousand, six hundred".