3904467840 has 768 divisors, whose sum is σ = 17202585600. Its totient is φ = 819486720.

The previous prime is 3904467829. The next prime is 3904467893. The reversal of 3904467840 is 487644093.

It is a super-2 number, since 2×3904467840² = 30489738227188531200, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 20442145 + ... + 20442335.

It is an arithmetic number, because the mean of its divisors is an integer number (22399200).

Almost surely, 2^3904467840 is an apocalyptic number.

3904467840 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 3904467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8601292800).

3904467840 is an abundant number, since it is smaller than the sum of its proper divisors (13298117760).

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

3904467840 is a wasteful number, since it uses less digits than its factorization.

3904467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 221 counting only the distinct ones).

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

The square root of 3904467840 is about 62485.7410934687. The cubic root of 3904467840 is about 1574.6617686398.

The spelling of 3904467840 in words is "three billion, nine hundred four million, four hundred sixty-seven thousand, eight hundred forty".