3654536032 has 96 divisors (see below), whose sum is σ = 8432424000. Its totient is φ = 1558416384.

The previous prime is 3654535999. The next prime is 3654536071. The reversal of 3654536032 is 2306354563.

It is a junction number, because it is equal to n+sod(n) for n = 3654535982 and 3654536000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2556694 + ... + 2558122.

It is an arithmetic number, because the mean of its divisors is an integer number (87837750).

Almost surely, 2^3654536032 is an apocalyptic number.

3654536032 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 3654536032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216212000).

3654536032 is an abundant number, since it is smaller than the sum of its proper divisors (4777887968).

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

3654536032 is a wasteful number, since it uses less digits than its factorization.

3654536032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 37.

The square root of 3654536032 is about 60452.7586798154. The cubic root of 3654536032 is about 1540.3192726468.

The spelling of 3654536032 in words is "three billion, six hundred fifty-four million, five hundred thirty-six thousand, thirty-two".