3496181546340 has 768 divisors, whose sum is σ = 13368847564800. Its totient is φ = 749623818240.

The previous prime is 3496181546257. The next prime is 3496181546359. The reversal of 3496181546340 is 436451816943.

It is a happy number.

3496181546340 is a `hidden beast` number, since 3 + 4 + 9 + 61 + 8 + 1 + 546 + 34 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1868615605 + ... + 1868617475.

It is an arithmetic number, because the mean of its divisors is an integer number (17407353600).

Almost surely, 2^{3496181546340} is an apocalyptic number.

3496181546340 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 3496181546340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6684423782400).

3496181546340 is an abundant number, since it is smaller than the sum of its proper divisors (9872666018460).

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

3496181546340 is a wasteful number, since it uses less digits than its factorization.

3496181546340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3496181546340 in words is "three trillion, four hundred ninety-six billion, one hundred eighty-one million, five hundred forty-six thousand, three hundred forty".