35378568 has 48 divisors (see below), whose sum is σ = 96911100. Its totient is φ = 11658240.

The previous prime is 35378561. The next prime is 35378573. The reversal of 35378568 is 86587353.

35378568 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 32695524 + 2683044 = 5718^2 + 1638^2 .

It is not an unprimeable number, because it can be changed into a prime (35378561) 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, 3648 + ... + 9168.

Almost surely, 2^35378568 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 35378568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48455550).

35378568 is an abundant number, since it is smaller than the sum of its proper divisors (61532532).

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

35378568 is a wasteful number, since it uses less digits than its factorization.

35378568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5622 (or 5615 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 35378568 is about 5947.9885675748. The cubic root of 35378568 is about 328.2817576976.

The spelling of 35378568 in words is "thirty-five million, three hundred seventy-eight thousand, five hundred sixty-eight".