3445396416 has 336 divisors, whose sum is σ = 12427354368. Its totient is φ = 886579200.

The previous prime is 3445396399. The next prime is 3445396421. The reversal of 3445396416 is 6146935443.

3445396416 is a `hidden beast` number, since 3 + 44 + 539 + 64 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5809816 + ... + 5810408.

Almost surely, 2^3445396416 is an apocalyptic number.

3445396416 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 3445396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213677184).

3445396416 is an abundant number, since it is smaller than the sum of its proper divisors (8981957952).

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

3445396416 is a wasteful number, since it uses less digits than its factorization.

3445396416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 747 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 3445396416 is about 58697.4992312279. The cubic root of 3445396416 is about 1510.3574166721.

The spelling of 3445396416 in words is "three billion, four hundred forty-five million, three hundred ninety-six thousand, four hundred sixteen".