33629416820 has 12 divisors (see below), whose sum is σ = 70621775364. Its totient is φ = 13451766720.

The previous prime is 33629416787. The next prime is 33629416841. The reversal of 33629416820 is 2861492633.

It can be written as a sum of positive squares in 2 ways, for example, as 5420198884 + 28209217936 = 73622^2 + 167956^2 .

It is a super-2 number, since 2×33629416820² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 840735401 + ... + 840735440.

It is an arithmetic number, because the mean of its divisors is an integer number (5885147947).

Almost surely, 2^33629416820 is an apocalyptic number.

It is an amenable number.

33629416820 is an abundant number, since it is smaller than the sum of its proper divisors (36992358544).

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

33629416820 is a wasteful number, since it uses less digits than its factorization.

33629416820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681470850 (or 1681470848 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 33629416820 in words is "thirty-three billion, six hundred twenty-nine million, four hundred sixteen thousand, eight hundred twenty".