33889769472 has 192 divisors, whose sum is σ = 98287469280. Its totient is φ = 10321920000.

The previous prime is 33889769461. The next prime is 33889769479. The reversal of 33889769472 is 27496798833.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×33889769472² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33889769479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8064972 + ... + 8069172.

Almost surely, 2^33889769472 is an apocalyptic number.

33889769472 is a gapful number since it is divisible by the number (32) 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 33889769472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49143734640).

33889769472 is an abundant number, since it is smaller than the sum of its proper divisors (64397699808).

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

33889769472 is a wasteful number, since it uses less digits than its factorization.

33889769472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340 (or 4320 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 66.

The spelling of 33889769472 in words is "thirty-three billion, eight hundred eighty-nine million, seven hundred sixty-nine thousand, four hundred seventy-two".