35980672 has 64 divisors (see below), whose sum is σ = 88250400. Its totient is φ = 14229504.

The previous prime is 35980663. The next prime is 35980691. The reversal of 35980672 is 27608953.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10104 + ... + 13192.

Almost surely, 2^35980672 is an apocalyptic number.

35980672 is a gapful number since it is divisible by the number (32) 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 35980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44125200).

35980672 is an abundant number, since it is smaller than the sum of its proper divisors (52269728).

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

35980672 is a wasteful number, since it uses less digits than its factorization.

35980672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 35980672 is about 5998.3891170880. The cubic root of 35980672 is about 330.1336220426.

The spelling of 35980672 in words is "thirty-five million, nine hundred eighty thousand, six hundred seventy-two".