3407925427088 has 480 divisors, whose sum is σ = 8749809226368. Its totient is φ = 1272808857600.

The previous prime is 3407925427031. The next prime is 3407925427117. The reversal of 3407925427088 is 8807245297043.

3407925427088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3407925427088² (a number of 26 digits) contains 22 as substring.

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, 3509706443 + ... + 3509707413.

Almost surely, 2^{3407925427088} 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 3407925427088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374904613184).

3407925427088 is an abundant number, since it is smaller than the sum of its proper divisors (5341883799280).

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

3407925427088 is a wasteful number, since it uses less digits than its factorization.

3407925427088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 59.

The spelling of 3407925427088 in words is "three trillion, four hundred seven billion, nine hundred twenty-five million, four hundred twenty-seven thousand, eighty-eight".