3408007680 has 960 divisors, whose sum is σ = 15718779648. Its totient is φ = 660602880.

The previous prime is 3408007679. The next prime is 3408007693. The reversal of 3408007680 is 867008043.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3408007680² = 23229032693877964800, 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30159304 + ... + 30159416.

Almost surely, 2^3408007680 is an apocalyptic number.

3408007680 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 3408007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7859389824).

3408007680 is an abundant number, since it is smaller than the sum of its proper divisors (12310771968).

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

3408007680 is a wasteful number, since it uses less digits than its factorization.

3408007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3408007680 is about 58378.1438553848. The cubic root of 3408007680 is about 1504.8741711484.

The spelling of 3408007680 in words is "three billion, four hundred eight million, seven thousand, six hundred eighty".