35484864 has 56 divisors (see below), whose sum is σ = 97139760. Its totient is φ = 11418624.

The previous prime is 35484857. The next prime is 35484871. The reversal of 35484864 is 46848453.

It is an interprime number because it is at equal distance from previous prime (35484857) and next prime (35484871).

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 7 ways as a sum of consecutive naturals, for example, 2382 + ... + 8754.

Almost surely, 2^35484864 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 35484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48569880).

35484864 is an abundant number, since it is smaller than the sum of its proper divisors (61654896).

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

35484864 is a wasteful number, since it uses less digits than its factorization.

35484864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6407 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 35484864 is about 5956.9173235827. The cubic root of 35484864 is about 328.6102065314.

The spelling of 35484864 in words is "thirty-five million, four hundred eighty-four thousand, eight hundred sixty-four".