35385480 has 96 divisors (see below), whose sum is σ = 123865560. Its totient is φ = 8709120.

The previous prime is 35385479. The next prime is 35385499. The reversal of 35385480 is 8458353.

It can be written as a sum of positive squares in 4 ways, for example, as 17288964 + 18096516 = 4158^2 + 4254^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900 + ... + 8460.

Almost surely, 2^35385480 is an apocalyptic number.

35385480 is a gapful number since it is divisible by the number (30) 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 35385480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61932780).

35385480 is an abundant number, since it is smaller than the sum of its proper divisors (88480080).

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

35385480 is a wasteful number, since it uses less digits than its factorization.

35385480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7591 (or 7584 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 35385480 is about 5948.5695759569. The cubic root of 35385480 is about 328.3031353836.

The spelling of 35385480 in words is "thirty-five million, three hundred eighty-five thousand, four hundred eighty".