3293106541920 has 480 divisors, whose sum is σ = 12578937940800. Its totient is φ = 806529208320.

The previous prime is 3293106541909. The next prime is 3293106541931. The reversal of 3293106541920 is 291456013923.

3293106541920 is a `hidden beast` number, since 3 + 2 + 9 + 3 + 10 + 6 + 541 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3293106541909) and next prime (3293106541931).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33478410 + ... + 33576630.

It is an arithmetic number, because the mean of its divisors is an integer number (26206120710).

Almost surely, 2^{3293106541920} is an apocalyptic number.

3293106541920 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 3293106541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289468970400).

3293106541920 is an abundant number, since it is smaller than the sum of its proper divisors (9285831398880).

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

3293106541920 is a wasteful number, since it uses less digits than its factorization.

3293106541920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98460 (or 98443 counting only the distinct ones).

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

The spelling of 3293106541920 in words is "three trillion, two hundred ninety-three billion, one hundred six million, five hundred forty-one thousand, nine hundred twenty".