35386848 has 96 divisors (see below), whose sum is σ = 117976320. Its totient is φ = 10108800.

The previous prime is 35386847. The next prime is 35386867. The reversal of 35386848 is 84868353.

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

It is a super-2 number, since 2×35386848² = 2504458022750208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35386847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3123 + ... + 8973.

It is an arithmetic number, because the mean of its divisors is an integer number (1228920).

Almost surely, 2^35386848 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 35386848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58988160).

35386848 is an abundant number, since it is smaller than the sum of its proper divisors (82589472).

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

35386848 is a wasteful number, since it uses less digits than its factorization.

35386848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5877 (or 5863 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 35386848 is about 5948.6845604722. The cubic root of 35386848 is about 328.3073660540.

The spelling of 35386848 in words is "thirty-five million, three hundred eighty-six thousand, eight hundred forty-eight".