35052000 has 192 divisors, whose sum is σ = 120766464. Its totient is φ = 8870400.

The previous prime is 35051993. The next prime is 35052001. The reversal of 35052000 is 25053.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35052001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275937 + ... + 276063.

It is an arithmetic number, because the mean of its divisors is an integer number (628992).

Almost surely, 2^35052000 is an apocalyptic number.

35052000 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 35052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60383232).

35052000 is an abundant number, since it is smaller than the sum of its proper divisors (85714464).

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

35052000 is a wasteful number, since it uses less digits than its factorization.

35052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 35052000 is about 5920.4729540806. The cubic root of 35052000 is about 327.2685465235.

Adding to 35052000 its reverse (25053), we get a palindrome (35077053).

The spelling of 35052000 in words is "thirty-five million, fifty-two thousand".