3894804480 has 288 divisors, whose sum is σ = 14294133504. Its totient is φ = 887095296.

The previous prime is 3894804451. The next prime is 3894804497. The reversal of 3894804480 is 844084983.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13762419 + ... + 13762701.

It is an arithmetic number, because the mean of its divisors is an integer number (49632408).

Almost surely, 2^3894804480 is an apocalyptic number.

3894804480 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 3894804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7147066752).

3894804480 is an abundant number, since it is smaller than the sum of its proper divisors (10399329024).

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

3894804480 is an frugal number, since it uses more digits than its factorization.

3894804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 3894804480 is about 62408.3686695943. The cubic root of 3894804480 is about 1573.3616260992.

The spelling of 3894804480 in words is "three billion, eight hundred ninety-four million, eight hundred four thousand, four hundred eighty".