3406754287104 has 1440 divisors, whose sum is σ = 11969671570560. Its totient is φ = 855305256960.

The previous prime is 3406754286979. The next prime is 3406754287109. The reversal of 3406754287104 is 4017824576043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406754287109) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50847078879 + ... + 50847078945.

It is an arithmetic number, because the mean of its divisors is an integer number (8312271924).

Almost surely, 2^{3406754287104} 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 3406754287104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984835785280).

3406754287104 is an abundant number, since it is smaller than the sum of its proper divisors (8562917283456).

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

3406754287104 is a wasteful number, since it uses less digits than its factorization.

3406754287104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 3406754287104 in words is "three trillion, four hundred six billion, seven hundred fifty-four million, two hundred eighty-seven thousand, one hundred four".