33985586949420 has 96 divisors (see below), whose sum is σ = 95998307328000. Its totient is φ = 8983204420864.

The previous prime is 33985586949397. The next prime is 33985586949427. The reversal of 33985586949420 is 2494968558933.

It is not an unprimeable number, because it can be changed into a prime (33985586949427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314077 + ... + 8250443.

It is an arithmetic number, because the mean of its divisors is an integer number (999982368000).

Almost surely, 2^{33985586949420} is an apocalyptic number.

33985586949420 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 33985586949420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47999153664000).

33985586949420 is an abundant number, since it is smaller than the sum of its proper divisors (62012720378580).

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

33985586949420 is a wasteful number, since it uses less digits than its factorization.

33985586949420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7937007 (or 7937005 counting only the distinct ones).

The product of its (nonzero) digits is 2015539200, while the sum is 75.

The spelling of 33985586949420 in words is "thirty-three trillion, nine hundred eighty-five billion, five hundred eighty-six million, nine hundred forty-nine thousand, four hundred twenty".