34285711561920 has 896 divisors, whose sum is σ = 149169322874880. Its totient is φ = 7219094077440.

The previous prime is 34285711561861. The next prime is 34285711561961. The reversal of 34285711561920 is 2916511758243.

34285711561920 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 5 + 7 + 1 + 15 + 619 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 385999434 + ... + 386088246.

It is an arithmetic number, because the mean of its divisors is an integer number (166483619280).

It is a 1-persistent number, because it is pandigital, but 2⋅34285711561920 = 68571423123840 is not.

Almost surely, 2^{34285711561920} is an apocalyptic number.

34285711561920 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 34285711561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74584661437440).

34285711561920 is an abundant number, since it is smaller than the sum of its proper divisors (114883611312960).

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

34285711561920 is a wasteful number, since it uses less digits than its factorization.

34285711561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89350 (or 89334 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 34285711561920 in words is "thirty-four trillion, two hundred eighty-five billion, seven hundred eleven million, five hundred sixty-one thousand, nine hundred twenty".