35363952 has 100 divisors (see below), whose sum is σ = 110279400. Its totient is φ = 10876032.

The previous prime is 35363941. The next prime is 35363953. The reversal of 35363952 is 25936353.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35363953) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15799 + ... + 17897.

It is an arithmetic number, because the mean of its divisors is an integer number (1102794).

Almost surely, 2^35363952 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 35363952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55139700).

35363952 is an abundant number, since it is smaller than the sum of its proper divisors (74915448).

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

35363952 is a wasteful number, since it uses less digits than its factorization.

35363952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2117 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

The square root of 35363952 is about 5946.7597900033. The cubic root of 35363952 is about 328.2365436283.

It can be divided in two parts, 35363 and 952, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 35363952 in words is "thirty-five million, three hundred sixty-three thousand, nine hundred fifty-two".