35574048 has 72 divisors (see below), whose sum is σ = 101965500. Its totient is φ = 11764224.

The previous prime is 35574043. The next prime is 35574059. The reversal of 35574048 is 84047553.

It can be written as a sum of positive squares in 2 ways, for example, as 34433424 + 1140624 = 5868^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×35574048² = 2531025782212608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (35574043) 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, 42498 + ... + 43326.

Almost surely, 2^35574048 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 35574048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50982750).

35574048 is an abundant number, since it is smaller than the sum of its proper divisors (66391452).

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

35574048 is a wasteful number, since it uses less digits than its factorization.

35574048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 35574048 is about 5964.3983770369. The cubic root of 35574048 is about 328.8852745592.

The spelling of 35574048 in words is "thirty-five million, five hundred seventy-four thousand, forty-eight".