3812053440 has 448 divisors, whose sum is σ = 13649577984. Its totient is φ = 895352832.

The previous prime is 3812053417. The next prime is 3812053457. The reversal of 3812053440 is 443502183.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3812053398 and 3812053407.

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, 39299472 + ... + 39299568.

It is an arithmetic number, because the mean of its divisors is an integer number (30467808).

Almost surely, 2^3812053440 is an apocalyptic number.

3812053440 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 3812053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6824788992).

3812053440 is an abundant number, since it is smaller than the sum of its proper divisors (9837524544).

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

3812053440 is a wasteful number, since it uses less digits than its factorization.

3812053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3812053440 is about 61741.8289330661. The cubic root of 3812053440 is about 1562.1389462508.

The spelling of 3812053440 in words is "three billion, eight hundred twelve million, fifty-three thousand, four hundred forty".