3497708908800 has 432 divisors, whose sum is σ = 12850690628160. Its totient is φ = 930908160000.

The previous prime is 3497708908781. The next prime is 3497708908819. The reversal of 3497708908800 is 88098077943.

It is an interprime number because it is at equal distance from previous prime (3497708908781) and next prime (3497708908819).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3497708908800² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90009375 + ... + 90048225.

Almost surely, 2^{3497708908800} is an apocalyptic number.

3497708908800 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 3497708908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6425345314080).

3497708908800 is an abundant number, since it is smaller than the sum of its proper divisors (9352981719360).

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

3497708908800 is a wasteful number, since it uses less digits than its factorization.

3497708908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39407 (or 39382 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 3497708908800 in words is "three trillion, four hundred ninety-seven billion, seven hundred eight million, nine hundred eight thousand, eight hundred".