3894246720 has 840 divisors, whose sum is σ = 17277917184. Its totient is φ = 815173632.

The previous prime is 3894246673. The next prime is 3894246731. The reversal of 3894246720 is 276424983.

3894246720 is a `hidden beast` number, since 389 + 4 + 246 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30663297 + ... + 30663423.

Almost surely, 2^3894246720 is an apocalyptic number.

3894246720 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 3894246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8638958592).

3894246720 is an abundant number, since it is smaller than the sum of its proper divisors (13383670464).

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

3894246720 is a wasteful number, since it uses less digits than its factorization.

3894246720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3894246720 is about 62403.8998781326. The cubic root of 3894246720 is about 1573.2865174872.

The spelling of 3894246720 in words is "three billion, eight hundred ninety-four million, two hundred forty-six thousand, seven hundred twenty".