3376414720 has 184 divisors, whose sum is σ = 9663675264. Its totient is φ = 1107296256.

The previous prime is 3376414681. The next prime is 3376414751. The reversal of 3376414720 is 274146733.

It is a tau number, because it is divible by the number of its divisors (184).

It is a super-2 number, since 2×3376414720² = 22800352722865356800, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3376414720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146800629 + ... + 146800651.

Almost surely, 2^3376414720 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 3376414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831837632).

3376414720 is an abundant number, since it is smaller than the sum of its proper divisors (6287260544).

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

3376414720 is an frugal number, since it uses more digits than its factorization.

3376414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 37.

The square root of 3376414720 is about 58106.9248885191. The cubic root of 3376414720 is about 1500.2095588702.

It can be divided in two parts, 33764 and 14720, that added together give a palindrome (48484).

The spelling of 3376414720 in words is "three billion, three hundred seventy-six million, four hundred fourteen thousand, seven hundred twenty".