3819458016 has 384 divisors, whose sum is σ = 12880788480. Its totient is φ = 1089792000.

The previous prime is 3819458009. The next prime is 3819458029. The reversal of 3819458016 is 6108549183.

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, 22077706 + ... + 22077878.

It is an arithmetic number, because the mean of its divisors is an integer number (33543720).

Almost surely, 2^3819458016 is an apocalyptic number.

3819458016 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 3819458016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6440394240).

3819458016 is an abundant number, since it is smaller than the sum of its proper divisors (9061330464).

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

3819458016 is a wasteful number, since it uses less digits than its factorization.

3819458016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 3819458016 is about 61801.7638583237. The cubic root of 3819458016 is about 1563.1497309043.

The spelling of 3819458016 in words is "three billion, eight hundred nineteen million, four hundred fifty-eight thousand, sixteen".