3497513160960 has 1152 divisors, whose sum is σ = 15347040092160. Its totient is φ = 734480400384.

The previous prime is 3497513160937. The next prime is 3497513161019. The reversal of 3497513160960 is 690613157943.

3497513160960 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 513 + 1 + 60 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3497513160960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3497513160897 and 3497513160906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 701323587 + ... + 701328573.

Almost surely, 2^{3497513160960} is an apocalyptic number.

3497513160960 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 3497513160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7673520046080).

3497513160960 is an abundant number, since it is smaller than the sum of its proper divisors (11849526931200).

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

3497513160960 is a wasteful number, since it uses less digits than its factorization.

3497513160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 3497513160960 in words is "three trillion, four hundred ninety-seven billion, five hundred thirteen million, one hundred sixty thousand, nine hundred sixty".