3941784000 has 1120 divisors, whose sum is σ = 18410895360. Its totient is φ = 808704000.

The previous prime is 3941783983. The next prime is 3941784037. The reversal of 3941784000 is 4871493.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×3941784000² = 31075322205312000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 49895961 + ... + 49896039.

Almost surely, 2^3941784000 is an apocalyptic number.

3941784000 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 3941784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9205447680).

3941784000 is an abundant number, since it is smaller than the sum of its proper divisors (14469111360).

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

3941784000 is a wasteful number, since it uses less digits than its factorization.

3941784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3941784000 is about 62783.6284392675. The cubic root of 3941784000 is about 1579.6623751166.

The spelling of 3941784000 in words is "three billion, nine hundred forty-one million, seven hundred eighty-four thousand".