33986936016 has 160 divisors (see below), whose sum is σ = 106730490240. Its totient is φ = 10269388800.

The previous prime is 33986935973. The next prime is 33986936021. The reversal of 33986936016 is 61063968933.

It is a happy number.

It is a super-2 number, since 2×33986936016² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1667326 + ... + 1687586.

It is an arithmetic number, because the mean of its divisors is an integer number (667065564).

Almost surely, 2^33986936016 is an apocalyptic number.

33986936016 is a gapful number since it is divisible by the number (36) 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 33986936016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53365245120).

33986936016 is an abundant number, since it is smaller than the sum of its proper divisors (72743554224).

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

33986936016 is a wasteful number, since it uses less digits than its factorization.

33986936016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20642 (or 20630 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 33986936016 in words is "thirty-three billion, nine hundred eighty-six million, nine hundred thirty-six thousand, sixteen".