3705828000 has 384 divisors, whose sum is σ = 14012683776. Its totient is φ = 838656000.

The previous prime is 3705827989. The next prime is 3705828023. The reversal of 3705828000 is 8285073.

It is a super-2 number, since 2×3705828000² = 27466322331168000000, which contains 22 as substring.

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, 13187860 + ... + 13188140.

It is an arithmetic number, because the mean of its divisors is an integer number (36491364).

Almost surely, 2^3705828000 is an apocalyptic number.

3705828000 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 3705828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7006341888).

3705828000 is an abundant number, since it is smaller than the sum of its proper divisors (10306855776).

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

3705828000 is a wasteful number, since it uses less digits than its factorization.

3705828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 3705828000 is about 60875.5123181727. The cubic root of 3705828000 is about 1547.4920246343.

The spelling of 3705828000 in words is "three billion, seven hundred five million, eight hundred twenty-eight thousand".