36425952 has 72 divisors (see below), whose sum is σ = 104963040. Its totient is φ = 11980800.

The previous prime is 36425933. The next prime is 36425959. The reversal of 36425952 is 25952463.

36425952 is a `hidden beast` number, since 3 + 64 + 2 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36425959) 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 11 ways as a sum of consecutive naturals, for example, 21952 + ... + 23552.

It is an arithmetic number, because the mean of its divisors is an integer number (1457820).

Almost surely, 2^36425952 is an apocalyptic number.

36425952 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 36425952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52481520).

36425952 is an abundant number, since it is smaller than the sum of its proper divisors (68537088).

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

36425952 is a wasteful number, since it uses less digits than its factorization.

36425952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1685 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 36425952 is about 6035.3916194395. The cubic root of 36425952 is about 331.4899023016.

The spelling of 36425952 in words is "thirty-six million, four hundred twenty-five thousand, nine hundred fifty-two".