3499589610720 has 576 divisors, whose sum is σ = 14501089774080. Its totient is φ = 750719176704.

The previous prime is 3499589610661. The next prime is 3499589610761. The reversal of 3499589610720 is 270169859943.

3499589610720 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 5 + 8 + 9 + 610 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×3499589610720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20407254 + ... + 20578026.

It is an arithmetic number, because the mean of its divisors is an integer number (25175503080).

It is a 1-persistent number, because it is pandigital, but 2⋅3499589610720 = 6999179221440 is not.

Almost surely, 2^{3499589610720} is an apocalyptic number.

3499589610720 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 3499589610720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7250544887040).

3499589610720 is an abundant number, since it is smaller than the sum of its proper divisors (11001500163360).

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

3499589610720 is a wasteful number, since it uses less digits than its factorization.

3499589610720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170927 (or 170916 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 3499589610720 in words is "three trillion, four hundred ninety-nine billion, five hundred eighty-nine million, six hundred ten thousand, seven hundred twenty".