3401906065920 has 480 divisors, whose sum is σ = 12861222454080. Its totient is φ = 859425914880.

The previous prime is 3401906065913. The next prime is 3401906065927. The reversal of 3401906065920 is 295606091043.

3401906065920 is a `hidden beast` number, since 3 + 4 + 0 + 19 + 0 + 606 + 5 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3401906065913) and next prime (3401906065927).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3401906065927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11675610 + ... + 11963430.

It is an arithmetic number, because the mean of its divisors is an integer number (26794213446).

Almost surely, 2^{3401906065920} is an apocalyptic number.

3401906065920 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 3401906065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6430611227040).

3401906065920 is an abundant number, since it is smaller than the sum of its proper divisors (9459316388160).

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

3401906065920 is an equidigital number, since it uses as much as digits as its factorization.

3401906065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287878 (or 287850 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 3401906065920 in words is "three trillion, four hundred one billion, nine hundred six million, sixty-five thousand, nine hundred twenty".