3648448440 has 256 divisors, whose sum is σ = 14968396800. Its totient is φ = 769761792.

The previous prime is 3648448429. The next prime is 3648448469. The reversal of 3648448440 is 448448463.

It is a super-2 number, since 2×3648448440² = 26622352038676867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79719 + ... + 116841.

It is an arithmetic number, because the mean of its divisors is an integer number (58470300).

Almost surely, 2^3648448440 is an apocalyptic number.

3648448440 is a gapful number since it is divisible by the number (30) 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 3648448440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7484198400).

3648448440 is an abundant number, since it is smaller than the sum of its proper divisors (11319948360).

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

3648448440 is a wasteful number, since it uses less digits than its factorization.

3648448440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37163 (or 37153 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The square root of 3648448440 is about 60402.3877011497. The cubic root of 3648448440 is about 1539.4635282101.

The spelling of 3648448440 in words is "three billion, six hundred forty-eight million, four hundred forty-eight thousand, four hundred forty".