3408413454720 has 1024 divisors, whose sum is σ = 12859637760000. Its totient is φ = 851682263040.

The previous prime is 3408413454709. The next prime is 3408413454727. The reversal of 3408413454720 is 274543148043.

3408413454720 is a `hidden beast` number, since 3 + 4 + 0 + 84 + 1 + 3 + 4 + 547 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3408413454727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7591121056 + ... + 7591121504.

It is an arithmetic number, because the mean of its divisors is an integer number (12558240000).

Almost surely, 2^{3408413454720} is an apocalyptic number.

3408413454720 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 3408413454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6429818880000).

3408413454720 is an abundant number, since it is smaller than the sum of its proper divisors (9451224305280).

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

3408413454720 is a wasteful number, since it uses less digits than its factorization.

3408413454720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 3408413454720 in words is "three trillion, four hundred eight billion, four hundred thirteen million, four hundred fifty-four thousand, seven hundred twenty".