33981306001920 has 1120 divisors, whose sum is σ = 131868841104000. Its totient is φ = 8368502833152.

The previous prime is 33981306001873. The next prime is 33981306001939. The reversal of 33981306001920 is 2910060318933.

33981306001920 is a `hidden beast` number, since 3 + 3 + 9 + 8 + 1 + 3 + 0 + 600 + 19 + 20 = 666.

It is a super-2 number, since 2×33981306001920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1244768431 + ... + 1244795729.

It is an arithmetic number, because the mean of its divisors is an integer number (117740036700).

Almost surely, 2^{33981306001920} is an apocalyptic number.

33981306001920 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 33981306001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65934420552000).

33981306001920 is an abundant number, since it is smaller than the sum of its proper divisors (97887535102080).

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

33981306001920 is an equidigital number, since it uses as much as digits as its factorization.

33981306001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27392 (or 27361 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 33981306001920 in words is "thirty-three trillion, nine hundred eighty-one billion, three hundred six million, one thousand, nine hundred twenty".