3812448640 has 384 divisors, whose sum is σ = 12352656960. Its totient is φ = 1094860800.

The previous prime is 3812448623. The next prime is 3812448659. The reversal of 3812448640 is 468442183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3812448593 and 3812448602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7046770 + ... + 7047310.

Almost surely, 2^3812448640 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 3812448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176328480).

3812448640 is an abundant number, since it is smaller than the sum of its proper divisors (8540208320).

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

3812448640 is a wasteful number, since it uses less digits than its factorization.

3812448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 3812448640 is about 61745.0292736185. The cubic root of 3812448640 is about 1562.1929273040.

The spelling of 3812448640 in words is "three billion, eight hundred twelve million, four hundred forty-eight thousand, six hundred forty".