3406901527680 has 768 divisors, whose sum is σ = 13500046310400. Its totient is φ = 713885736960.

The previous prime is 3406901527657. The next prime is 3406901527703. The reversal of 3406901527680 is 867251096043.

It is an interprime number because it is at equal distance from previous prime (3406901527657) and next prime (3406901527703).

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, 245394019 + ... + 245407901.

It is an arithmetic number, because the mean of its divisors is an integer number (17578185300).

It is a 1-persistent number, because it is pandigital, but 2⋅3406901527680 = 6813803055360 is not.

Almost surely, 2^{3406901527680} is an apocalyptic number.

3406901527680 is a gapful number since it is divisible by the number (30) 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 3406901527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6750023155200).

3406901527680 is an abundant number, since it is smaller than the sum of its proper divisors (10093144782720).

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

3406901527680 is a wasteful number, since it uses less digits than its factorization.

3406901527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13993 (or 13950 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 3406901527680 in words is "three trillion, four hundred six billion, nine hundred one million, five hundred twenty-seven thousand, six hundred eighty".