3640921284 has 576 divisors, whose sum is σ = 12741442560. Its totient is φ = 792529920.

The previous prime is 3640921253. The next prime is 3640921289. The reversal of 3640921284 is 4821290463.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3640921289) 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 191 ways as a sum of consecutive naturals, for example, 68696602 + ... + 68696654.

It is an arithmetic number, because the mean of its divisors is an integer number (22120560).

Almost surely, 2^3640921284 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 3640921284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370721280).

3640921284 is an abundant number, since it is smaller than the sum of its proper divisors (9100521276).

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

3640921284 is a wasteful number, since it uses less digits than its factorization.

3640921284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3640921284 is about 60340.0470997496. The cubic root of 3640921284 is about 1538.4041043269.

The spelling of 3640921284 in words is "three billion, six hundred forty million, nine hundred twenty-one thousand, two hundred eighty-four".