3400910684028 has 288 divisors, whose sum is σ = 10444926240000. Its totient is φ = 950591790720.

The previous prime is 3400910684011. The next prime is 3400910684081. The reversal of 3400910684028 is 8204860190043.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251931223 + ... + 251944721.

It is an arithmetic number, because the mean of its divisors is an integer number (36267105000).

Almost surely, 2^{3400910684028} 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 3400910684028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222463120000).

3400910684028 is an abundant number, since it is smaller than the sum of its proper divisors (7044015555972).

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

3400910684028 is a wasteful number, since it uses less digits than its factorization.

3400910684028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15030 (or 15011 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 3400910684028 in words is "three trillion, four hundred billion, nine hundred ten million, six hundred eighty-four thousand, twenty-eight".