3407994856992 has 288 divisors, whose sum is σ = 10368188006400. Its totient is φ = 976721518080.

The previous prime is 3407994856991. The next prime is 3407994857023. The reversal of 3407994856992 is 2996584997043.

It is a super-2 number, since 2×3407994856992² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3407994856991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133954609 + ... + 133980047.

It is an arithmetic number, because the mean of its divisors is an integer number (36000652800).

Almost surely, 2^{3407994856992} is an apocalyptic number.

3407994856992 is a gapful number since it is divisible by the number (32) 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 3407994856992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184094003200).

3407994856992 is an abundant number, since it is smaller than the sum of its proper divisors (6960193149408).

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

3407994856992 is a wasteful number, since it uses less digits than its factorization.

3407994856992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26100 (or 26081 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 75.

The spelling of 3407994856992 in words is "three trillion, four hundred seven billion, nine hundred ninety-four million, eight hundred fifty-six thousand, nine hundred ninety-two".