3406674721120 has 192 divisors, whose sum is σ = 9151822423296. Its totient is φ = 1187318753280.

The previous prime is 3406674721117. The next prime is 3406674721123. The reversal of 3406674721120 is 211274766043.

It is an interprime number because it is at equal distance from previous prime (3406674721117) and next prime (3406674721123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406674721123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3972639 + ... + 4753441.

It is an arithmetic number, because the mean of its divisors is an integer number (47665741788).

Almost surely, 2^{3406674721120} 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 3406674721120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575911211648).

3406674721120 is an abundant number, since it is smaller than the sum of its proper divisors (5745147702176).

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

3406674721120 is a wasteful number, since it uses less digits than its factorization.

3406674721120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780933 (or 780925 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The spelling of 3406674721120 in words is "three trillion, four hundred six billion, six hundred seventy-four million, seven hundred twenty-one thousand, one hundred twenty".