35984052 has 72 divisors (see below), whose sum is σ = 102246144. Its totient is φ = 10587456.

The previous prime is 35984051. The next prime is 35984107. The reversal of 35984052 is 25048953.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 35983998 and 35984016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35984051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9093 + ... + 12435.

Almost surely, 2^35984052 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 35984052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51123072).

35984052 is an abundant number, since it is smaller than the sum of its proper divisors (66262092).

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

35984052 is a wasteful number, since it uses less digits than its factorization.

35984052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 35984052 is about 5998.6708527806. The cubic root of 35984052 is about 330.1439592286.

The spelling of 35984052 in words is "thirty-five million, nine hundred eighty-four thousand, fifty-two".