3884094720 has 576 divisors, whose sum is σ = 15947124480. Its totient is φ = 884736000.

The previous prime is 3884094719. The next prime is 3884094751. The reversal of 3884094720 is 274904883.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 6462420 + ... + 6463020.

It is an arithmetic number, because the mean of its divisors is an integer number (27685980).

Almost surely, 2^3884094720 is an apocalyptic number.

3884094720 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 3884094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7973562240).

3884094720 is an abundant number, since it is smaller than the sum of its proper divisors (12063029760).

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

3884094720 is a wasteful number, since it uses less digits than its factorization.

3884094720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3884094720 is about 62322.5057262623. The cubic root of 3884094720 is about 1571.9181823276.

It can be divided in two parts, 388409 and 4720, that added together give a square (393129 = 627²).

The spelling of 3884094720 in words is "three billion, eight hundred eighty-four million, ninety-four thousand, seven hundred twenty".