33852487680 has 384 divisors, whose sum is σ = 131286355200. Its totient is φ = 8205926400.

The previous prime is 33852487649. The next prime is 33852487717. The reversal of 33852487680 is 8678425833.

33852487680 is a `hidden beast` number, since 3 + 3 + 85 + 2 + 487 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×33852487680² (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 zygodrome in base 2.

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, 3035715 + ... + 3046845.

It is an arithmetic number, because the mean of its divisors is an integer number (341891550).

Almost surely, 2^33852487680 is an apocalyptic number.

33852487680 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 33852487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65643177600).

33852487680 is an abundant number, since it is smaller than the sum of its proper divisors (97433867520).

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

33852487680 is a wasteful number, since it uses less digits than its factorization.

33852487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11178 (or 11152 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 33852487680 in words is "thirty-three billion, eight hundred fifty-two million, four hundred eighty-seven thousand, six hundred eighty".