3423770544960 has 448 divisors, whose sum is σ = 12241965254400. Its totient is φ = 911919513600.

The previous prime is 3423770544913. The next prime is 3423770544973. The reversal of 3423770544960 is 694450773243.

It is a happy number.

3423770544960 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 7 + 7 + 0 + 544 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3423770544897 and 3423770544906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 713134560 + ... + 713139360.

It is an arithmetic number, because the mean of its divisors is an integer number (27325815300).

Almost surely, 2^{3423770544960} is an apocalyptic number.

3423770544960 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 3423770544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120982627200).

3423770544960 is an abundant number, since it is smaller than the sum of its proper divisors (8818194709440).

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

3423770544960 is an equidigital number, since it uses as much as digits as its factorization.

3423770544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5858 (or 5830 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 3423770544960 in words is "three trillion, four hundred twenty-three billion, seven hundred seventy million, five hundred forty-four thousand, nine hundred sixty".