3408726720 has 224 divisors, whose sum is σ = 12435840000. Its totient is φ = 774918144.

The previous prime is 3408726703. The next prime is 3408726781. The reversal of 3408726720 is 276278043.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1336006 + ... + 1338554.

Almost surely, 2^3408726720 is an apocalyptic number.

3408726720 is a gapful number since it is divisible by the number (30) 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 3408726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217920000).

3408726720 is an abundant number, since it is smaller than the sum of its proper divisors (9027113280).

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

3408726720 is a wasteful number, since it uses less digits than its factorization.

3408726720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 3408726720 is about 58384.3019997670. The cubic root of 3408726720 is about 1504.9799992191.

The spelling of 3408726720 in words is "three billion, four hundred eight million, seven hundred twenty-six thousand, seven hundred twenty".