35052300 has 216 divisors, whose sum is σ = 121867200. Its totient is φ = 8386560.

The previous prime is 35052263. The next prime is 35052301. The reversal of 35052300 is 325053.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (35052301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 443661 + ... + 443739.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

Almost surely, 2^35052300 is an apocalyptic number.

35052300 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 35052300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933600).

35052300 is an abundant number, since it is smaller than the sum of its proper divisors (86814900).

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

35052300 is a wasteful number, since it uses less digits than its factorization.

35052300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 35052300 is about 5920.4982898401. The cubic root of 35052300 is about 327.2694801866.

Adding to 35052300 its reverse (325053), we get a palindrome (35377353).

It can be divided in two parts, 350 and 52300, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 35052300 in words is "thirty-five million, fifty-two thousand, three hundred".