3520298745600 has 1728 divisors, whose sum is σ = 15801152661504. Its totient is φ = 668530114560.

The previous prime is 3520298745589. The next prime is 3520298745653. The reversal of 3520298745600 is 65478920253.

It is a happy number.

3520298745600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 683152624 + ... + 683157776.

It is an arithmetic number, because the mean of its divisors is an integer number (9144185568).

Almost surely, 2^{3520298745600} is an apocalyptic number.

3520298745600 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 3520298745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900576330752).

3520298745600 is an abundant number, since it is smaller than the sum of its proper divisors (12280853915904).

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

3520298745600 is a wasteful number, since it uses less digits than its factorization.

3520298745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5242 (or 5223 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 3520298745600 in words is "three trillion, five hundred twenty billion, two hundred ninety-eight million, seven hundred forty-five thousand, six hundred".