3407275366464 has 112 divisors (see below), whose sum is σ = 9327123961920. Its totient is φ = 1096456058880.

The previous prime is 3407275366337. The next prime is 3407275366487. The reversal of 3407275366464 is 4646635727043.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49916422 + ... + 49984634.

Almost surely, 2^{3407275366464} 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 3407275366464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663561980960).

3407275366464 is an abundant number, since it is smaller than the sum of its proper divisors (5919848595456).

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

3407275366464 is a wasteful number, since it uses less digits than its factorization.

3407275366464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77228 (or 77218 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 57.

The spelling of 3407275366464 in words is "three trillion, four hundred seven billion, two hundred seventy-five million, three hundred sixty-six thousand, four hundred sixty-four".