3819280896 has 400 divisors, whose sum is σ = 12417910560. Its totient is φ = 1164533760.

The previous prime is 3819280849. The next prime is 3819280897. The reversal of 3819280896 is 6980829183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3819280897) 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 39 ways as a sum of consecutive naturals, for example, 29154751 + ... + 29154881.

Almost surely, 2^3819280896 is an apocalyptic number.

3819280896 is a gapful number since it is divisible by the number (36) 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 3819280896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6208955280).

3819280896 is an abundant number, since it is smaller than the sum of its proper divisors (8598629664).

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

3819280896 is a wasteful number, since it uses less digits than its factorization.

3819280896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 3819280896 is about 61800.3308729007. The cubic root of 3819280896 is about 1563.1255678460.

The spelling of 3819280896 in words is "three billion, eight hundred nineteen million, two hundred eighty thousand, eight hundred ninety-six".