35250120 has 128 divisors (see below), whose sum is σ = 118886400. Its totient is φ = 9289728.

The previous prime is 35250113. The next prime is 35250133. The reversal of 35250120 is 2105253.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 35250093 and 35250102.

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, 137032 + ... + 137288.

It is an arithmetic number, because the mean of its divisors is an integer number (928800).

Almost surely, 2^35250120 is an apocalyptic number.

35250120 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 35250120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59443200).

35250120 is an abundant number, since it is smaller than the sum of its proper divisors (83636280).

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

35250120 is a wasteful number, since it uses less digits than its factorization.

35250120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 35250120 is about 5937.1811493334. The cubic root of 35250120 is about 327.8839813746.

Adding to 35250120 its reverse (2105253), we get a palindrome (37355373).

The spelling of 35250120 in words is "thirty-five million, two hundred fifty thousand, one hundred twenty".