3408319278720 has 512 divisors, whose sum is σ = 12388387968000. Its totient is φ = 885122961408.

The previous prime is 3408319278697. The next prime is 3408319278773. The reversal of 3408319278720 is 278729138043.

3408319278720 is a `hidden beast` number, since 34 + 0 + 8 + 319 + 278 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257828271 + ... + 257841489.

It is an arithmetic number, because the mean of its divisors is an integer number (24196070250).

Almost surely, 2^{3408319278720} is an apocalyptic number.

3408319278720 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 3408319278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6194193984000).

3408319278720 is an abundant number, since it is smaller than the sum of its proper divisors (8980068689280).

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

3408319278720 is a wasteful number, since it uses less digits than its factorization.

3408319278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13637 (or 13619 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 3408319278720 in words is "three trillion, four hundred eight billion, three hundred nineteen million, two hundred seventy-eight thousand, seven hundred twenty".