3406198640640 has 832 divisors, whose sum is σ = 12082348302336. Its totient is φ = 815599190016.

The previous prime is 3406198640629. The next prime is 3406198640653. The reversal of 3406198640640 is 460468916043.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2048224449 + ... + 2048226111.

It is an arithmetic number, because the mean of its divisors is an integer number (14522053248).

Almost surely, 2^{3406198640640} is an apocalyptic number.

3406198640640 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 3406198640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041174151168).

3406198640640 is an abundant number, since it is smaller than the sum of its proper divisors (8676149661696).

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

3406198640640 is a wasteful number, since it uses less digits than its factorization.

3406198640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 3406198640640 in words is "three trillion, four hundred six billion, one hundred ninety-eight million, six hundred forty thousand, six hundred forty".