3496401216 has 336 divisors, whose sum is σ = 12902842368. Its totient is φ = 878515200.

The previous prime is 3496401193. The next prime is 3496401217. The reversal of 3496401216 is 6121046943.

3496401216 is a `hidden beast` number, since 3 + 4 + 9 + 640 + 1 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3496401217) 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 47 ways as a sum of consecutive naturals, for example, 1373641 + ... + 1376183.

Almost surely, 2^3496401216 is an apocalyptic number.

3496401216 is a gapful number since it is divisible by the number (36) 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 3496401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451421184).

3496401216 is an abundant number, since it is smaller than the sum of its proper divisors (9406441152).

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

3496401216 is a wasteful number, since it uses less digits than its factorization.

3496401216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3496401216 is about 59130.3747324503. The cubic root of 3496401216 is about 1517.7739252029.

The spelling of 3496401216 in words is "three billion, four hundred ninety-six million, four hundred one thousand, two hundred sixteen".