35252352 has 96 divisors (see below), whose sum is σ = 103109760. Its totient is φ = 11558400.

The previous prime is 35252317. The next prime is 35252359. The reversal of 35252352 is 25325253.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (35252359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81577 + ... + 82007.

It is an arithmetic number, because the mean of its divisors is an integer number (1074060).

Almost surely, 2^35252352 is an apocalyptic number.

35252352 is a gapful number since it is divisible by the number (32) 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 35252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51554880).

35252352 is an abundant number, since it is smaller than the sum of its proper divisors (67857408).

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

35252352 is a wasteful number, since it uses less digits than its factorization.

35252352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 507 counting only the distinct ones).

The product of its digits is 9000, while the sum is 27.

The square root of 35252352 is about 5937.3691143469. The cubic root of 35252352 is about 327.8909016498.

The spelling of 35252352 in words is "thirty-five million, two hundred fifty-two thousand, three hundred fifty-two".