3428923034880 has 2160 divisors, whose sum is σ = 15008841650880. Its totient is φ = 740832583680.

The previous prime is 3428923034839. The next prime is 3428923034893. The reversal of 3428923034880 is 884303298243.

3428923034880 is a `hidden beast` number, since 3 + 42 + 8 + 92 + 30 + 3 + 488 + 0 = 666.

3428923034880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×3428923034880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 79742396139 + ... + 79742396181.

Almost surely, 2^{3428923034880} is an apocalyptic number.

3428923034880 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 3428923034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7504420825440).

3428923034880 is an abundant number, since it is smaller than the sum of its proper divisors (11579918616000).

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

3428923034880 is an frugal number, since it uses more digits than its factorization.

3428923034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 3428923034880 in words is "three trillion, four hundred twenty-eight billion, nine hundred twenty-three million, thirty-four thousand, eight hundred eighty".