3904893300 has 864 divisors, whose sum is σ = 15958978560. Its totient is φ = 725760000.

The previous prime is 3904893299. The next prime is 3904893313. The reversal of 3904893300 is 33984093.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95241280 + ... + 95241320.

It is an arithmetic number, because the mean of its divisors is an integer number (18471040).

Almost surely, 2^3904893300 is an apocalyptic number.

3904893300 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 3904893300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979489280).

3904893300 is an abundant number, since it is smaller than the sum of its proper divisors (12054085260).

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

3904893300 is a wasteful number, since it uses less digits than its factorization.

3904893300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 3904893300 is about 62489.1454574312. The cubic root of 3904893300 is about 1574.7189622012.

The spelling of 3904893300 in words is "three billion, nine hundred four million, eight hundred ninety-three thousand, three hundred".