3812809728 has 352 divisors, whose sum is σ = 13073550336. Its totient is φ = 960233472.

The previous prime is 3812809711. The next prime is 3812809733. The reversal of 3812809728 is 8279082183.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6429400 + ... + 6429992.

It is an arithmetic number, because the mean of its divisors is an integer number (37140768).

Almost surely, 2^3812809728 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 3812809728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6536775168).

3812809728 is an abundant number, since it is smaller than the sum of its proper divisors (9260740608).

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

3812809728 is a wasteful number, since it uses less digits than its factorization.

3812809728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 3812809728 is about 61747.9532292367. The cubic root of 3812809728 is about 1562.2422456787.

The spelling of 3812809728 in words is "three billion, eight hundred twelve million, eight hundred nine thousand, seven hundred twenty-eight".