3503516672 has 88 divisors (see below), whose sum is σ = 7450850736. Its totient is φ = 1640890368.

The previous prime is 3503516671. The next prime is 3503516683. The reversal of 3503516672 is 2766153053.

It is not an unprimeable number, because it can be changed into a prime (3503516671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5448383 + ... + 5449025.

Almost surely, 2^3503516672 is an apocalyptic number.

3503516672 is a gapful number since it is divisible by the number (32) 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 3503516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725425368).

3503516672 is an abundant number, since it is smaller than the sum of its proper divisors (3947334064).

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

3503516672 is a wasteful number, since it uses less digits than its factorization.

3503516672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 38.

The square root of 3503516672 is about 59190.5116720577. The cubic root of 3503516672 is about 1518.8028246469.

The spelling of 3503516672 in words is "three billion, five hundred three million, five hundred sixteen thousand, six hundred seventy-two".