3496044160 has 384 divisors, whose sum is σ = 10498688640. Its totient is φ = 1107025920.

The previous prime is 3496044143. The next prime is 3496044161. The reversal of 3496044160 is 614406943.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (3496044161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26687295 + ... + 26687425.

It is an arithmetic number, because the mean of its divisors is an integer number (27340335).

Almost surely, 2^3496044160 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 3496044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249344320).

3496044160 is an abundant number, since it is smaller than the sum of its proper divisors (7002644480).

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

3496044160 is a wasteful number, since it uses less digits than its factorization.

3496044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 3496044160 is about 59127.3554287692. The cubic root of 3496044160 is about 1517.7222579121.

The spelling of 3496044160 in words is "three billion, four hundred ninety-six million, forty-four thousand, one hundred sixty".