3819496800 has 288 divisors, whose sum is σ = 14355581184. Its totient is φ = 864000000.

The previous prime is 3819496787. The next prime is 3819496861. The reversal of 3819496800 is 86949183.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3819496800.

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, 1695675 + ... + 1697925.

It is an arithmetic number, because the mean of its divisors is an integer number (49845768).

Almost surely, 2^3819496800 is an apocalyptic number.

3819496800 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 3819496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7177790592).

3819496800 is an abundant number, since it is smaller than the sum of its proper divisors (10536084384).

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

3819496800 is a wasteful number, since it uses less digits than its factorization.

3819496800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 3819496800 is about 61802.0776349792. The cubic root of 3819496800 is about 1563.1550217940.

The spelling of 3819496800 in words is "three billion, eight hundred nineteen million, four hundred ninety-six thousand, eight hundred".