3407395265904 has 120 divisors (see below), whose sum is σ = 10242875485440. Its totient is φ = 973227276672.

The previous prime is 3407395265903. The next prime is 3407395266017. The reversal of 3407395265904 is 4095625937043.

It is a super-2 number, since 2×3407395265904² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3407395265903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7103647 + ... + 7568129.

It is an arithmetic number, because the mean of its divisors is an integer number (85357295712).

Almost surely, 2^{3407395265904} 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 3407395265904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121437742720).

3407395265904 is an abundant number, since it is smaller than the sum of its proper divisors (6835480219536).

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

3407395265904 is a wasteful number, since it uses less digits than its factorization.

3407395265904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467627 (or 467614 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 57.

The spelling of 3407395265904 in words is "three trillion, four hundred seven billion, three hundred ninety-five million, two hundred sixty-five thousand, nine hundred four".