3441376512 has 432 divisors, whose sum is σ = 11955274240. Its totient is φ = 931627008.

The previous prime is 3441376507. The next prime is 3441376517. The reversal of 3441376512 is 2156731443.

3441376512 is a `hidden beast` number, since 3 + 4 + 4 + 137 + 6 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (3441376507) and next prime (3441376517).

It is a super-2 number, since 2×3441376512² = 23686144594690572288, which contains 22 as substring.

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 (3441376517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43561689 + ... + 43561767.

Almost surely, 2^3441376512 is an apocalyptic number.

3441376512 is a gapful number since it is divisible by the number (32) 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 3441376512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5977637120).

3441376512 is an abundant number, since it is smaller than the sum of its proper divisors (8513897728).

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

3441376512 is a wasteful number, since it uses less digits than its factorization.

3441376512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3441376512 is about 58663.2466881948. The cubic root of 3441376512 is about 1509.7697866951.

The spelling of 3441376512 in words is "three billion, four hundred forty-one million, three hundred seventy-six thousand, five hundred twelve".