3443319497376 has 576 divisors, whose sum is σ = 11703470478336. Its totient is φ = 948083097600.

The previous prime is 3443319497353. The next prime is 3443319497399. The reversal of 3443319497376 is 6737949133443.

3443319497376 is a `hidden beast` number, since 3 + 4 + 43 + 31 + 9 + 497 + 3 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (3443319497353) and next prime (3443319497399).

It is a super-2 number, since 2×3443319497376² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 762975696 + ... + 762980208.

It is an arithmetic number, because the mean of its divisors is an integer number (20318525136).

Almost surely, 2^{3443319497376} is an apocalyptic number.

3443319497376 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 3443319497376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851735239168).

3443319497376 is an abundant number, since it is smaller than the sum of its proper divisors (8260150980960).

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

3443319497376 is a wasteful number, since it uses less digits than its factorization.

3443319497376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5034 counting only the distinct ones).

The product of its digits is 123451776, while the sum is 63.

The spelling of 3443319497376 in words is "three trillion, four hundred forty-three billion, three hundred nineteen million, four hundred ninety-seven thousand, three hundred seventy-six".