3819893904 has 240 divisors, whose sum is σ = 11738248704. Its totient is φ = 1200614400.

The previous prime is 3819893899. The next prime is 3819893921. The reversal of 3819893904 is 4093989183.

3819893904 is a `hidden beast` number, since 381 + 98 + 93 + 90 + 4 = 666.

It is a super-2 number, since 2×3819893904² = 29183178875632722432, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4941262 + ... + 4942034.

Almost surely, 2^3819893904 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 3819893904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5869124352).

3819893904 is an abundant number, since it is smaller than the sum of its proper divisors (7918354800).

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

3819893904 is a wasteful number, since it uses less digits than its factorization.

3819893904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 3819893904 is about 61805.2902590061. The cubic root of 3819893904 is about 1563.2091924203.

The spelling of 3819893904 in words is "three billion, eight hundred nineteen million, eight hundred ninety-three thousand, nine hundred four".