3640464828 has 432 divisors, whose sum is σ = 13109241600. Its totient is φ = 824878080.

The previous prime is 3640464827. The next prime is 3640464829. The reversal of 3640464828 is 8284640463.

It is an interprime number because it is at equal distance from previous prime (3640464827) and next prime (3640464829).

It is a super-3 number, since 3×3640464828³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640464827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8900688 + ... + 8901096.

Almost surely, 2^3640464828 is an apocalyptic number.

3640464828 is a gapful number since it is divisible by the number (38) 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 3640464828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554620800).

3640464828 is an abundant number, since it is smaller than the sum of its proper divisors (9468776772).

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

3640464828 is a wasteful number, since it uses less digits than its factorization.

3640464828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 3640464828 is about 60336.2646175582. The cubic root of 3640464828 is about 1538.3398126201.

The spelling of 3640464828 in words is "three billion, six hundred forty million, four hundred sixty-four thousand, eight hundred twenty-eight".