3496018901760 has 864 divisors, whose sum is σ = 15103286714880. Its totient is φ = 725350809600.

The previous prime is 3496018901737. The next prime is 3496018901801. The reversal of 3496018901760 is 671098106943.

3496018901760 is a `hidden beast` number, since 3 + 496 + 0 + 1 + 8 + 90 + 1 + 7 + 60 = 666.

It is a super-2 number, since 2×3496018901760² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3496018901697 and 3496018901706.

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, 675034851 + ... + 675040029.

It is an arithmetic number, because the mean of its divisors is an integer number (17480655920).

Almost surely, 2^{3496018901760} is an apocalyptic number.

3496018901760 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 3496018901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7551643357440).

3496018901760 is an abundant number, since it is smaller than the sum of its proper divisors (11607267813120).

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

3496018901760 is a wasteful number, since it uses less digits than its factorization.

3496018901760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5985 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 3496018901760 in words is "three trillion, four hundred ninety-six billion, eighteen million, nine hundred one thousand, seven hundred sixty".