33852856380 has 288 divisors, whose sum is σ = 113073408000. Its totient is φ = 7542033408.

The previous prime is 33852856321. The next prime is 33852856417. The reversal of 33852856380 is 8365825833.

It is a super-2 number, since 2×33852856380² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56515321 + ... + 56515919.

It is an arithmetic number, because the mean of its divisors is an integer number (392616000).

Almost surely, 2^33852856380 is an apocalyptic number.

33852856380 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 33852856380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56536704000).

33852856380 is an abundant number, since it is smaller than the sum of its proper divisors (79220551620).

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

33852856380 is a wasteful number, since it uses less digits than its factorization.

33852856380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 33852856380 in words is "thirty-three billion, eight hundred fifty-two million, eight hundred fifty-six thousand, three hundred eighty".