3496146192 has 320 divisors, whose sum is σ = 12723947520. Its totient is φ = 892684800.

The previous prime is 3496146191. The next prime is 3496146233. The reversal of 3496146192 is 2916416943.

3496146192 is a `hidden beast` number, since 3 + 49 + 61 + 461 + 92 = 666.

It is a super-2 number, since 2×3496146192² = 24446076391672201728, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3496146191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2028243 + ... + 2029965.

It is an arithmetic number, because the mean of its divisors is an integer number (39762336).

Almost surely, 2^3496146192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3496146192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361973760).

3496146192 is an abundant number, since it is smaller than the sum of its proper divisors (9227801328).

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

3496146192 is a wasteful number, since it uses less digits than its factorization.

3496146192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1807 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 3496146192 is about 59128.2182379953. The cubic root of 3496146192 is about 1517.7370226694.

The spelling of 3496146192 in words is "three billion, four hundred ninety-six million, one hundred forty-six thousand, one hundred ninety-two".