35746672 has 40 divisors (see below), whose sum is σ = 75463920. Its totient is φ = 16304640.

The previous prime is 35746663. The next prime is 35746673. The reversal of 35746672 is 27664753.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35746673) by changing a digit.

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, 17547 + ... + 19477.

It is an arithmetic number, because the mean of its divisors is an integer number (1886598).

Almost surely, 2^35746672 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 35746672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37731960).

35746672 is an abundant number, since it is smaller than the sum of its proper divisors (39717248).

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

35746672 is a wasteful number, since it uses less digits than its factorization.

35746672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2035 counting only the distinct ones).

The product of its digits is 211680, while the sum is 40.

The square root of 35746672 is about 5978.8520637326. The cubic root of 35746672 is about 329.4163912015.

The spelling of 35746672 in words is "thirty-five million, seven hundred forty-six thousand, six hundred seventy-two".