33987295104 has 128 divisors (see below), whose sum is σ = 104140857600. Its totient is φ = 9619820544.

The previous prime is 33987295093. The next prime is 33987295151. The reversal of 33987295104 is 40159278933.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228532 + ... + 346700.

It is an arithmetic number, because the mean of its divisors is an integer number (813600450).

Almost surely, 2^33987295104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33987295104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52070428800).

33987295104 is an abundant number, since it is smaller than the sum of its proper divisors (70153562496).

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

33987295104 is a wasteful number, since it uses less digits than its factorization.

33987295104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118300 (or 118288 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 33987295104 in words is "thirty-three billion, nine hundred eighty-seven million, two hundred ninety-five thousand, one hundred four".