35350952 has 64 divisors (see below), whose sum is σ = 83328000. Its totient is φ = 13970880.

The previous prime is 35350927. The next prime is 35350961. The reversal of 35350952 is 25905353.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35177 + ... + 36167.

It is an arithmetic number, because the mean of its divisors is an integer number (1302000).

Almost surely, 2^35350952 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 35350952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664000).

35350952 is an abundant number, since it is smaller than the sum of its proper divisors (47977048).

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

35350952 is a wasteful number, since it uses less digits than its factorization.

35350952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 32.

The square root of 35350952 is about 5945.6666573228. Note that the first 4 decimals coincide. The cubic root of 35350952 is about 328.1963181275.

The spelling of 35350952 in words is "thirty-five million, three hundred fifty thousand, nine hundred fifty-two".