3664429632 has 140 divisors (see below), whose sum is σ = 10888748860. Its totient is φ = 1218530304.

The previous prime is 3664429631. The next prime is 3664429633. The reversal of 3664429632 is 2369244663.

3664429632 is a `hidden beast` number, since 3 + 6 + 6 + 4 + 4 + 2 + 9 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (3664429631) and next prime (3664429633).

It can be written as a sum of positive squares in 2 ways, for example, as 1816805376 + 1847624256 = 42624^2 + 42984^2 .

It is a super-3 number, since 3×3664429632³ (a number of 30 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3664429631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3674958 + ... + 3675954.

Almost surely, 2^3664429632 is an apocalyptic number.

3664429632 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 3664429632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444374430).

3664429632 is an abundant number, since it is smaller than the sum of its proper divisors (7224319228).

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

3664429632 is an equidigital number, since it uses as much as digits as its factorization.

3664429632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1711 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 3664429632 is about 60534.5325578715. The cubic root of 3664429632 is about 1541.7080099371.

The spelling of 3664429632 in words is "three billion, six hundred sixty-four million, four hundred twenty-nine thousand, six hundred thirty-two".