3803730840 has 960 divisors, whose sum is σ = 17032831200. Its totient is φ = 752467968.

The previous prime is 3803730809. The next prime is 3803730863. The reversal of 3803730840 is 480373083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3803730795 and 3803730804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 39213672 + ... + 39213768.

Almost surely, 2^3803730840 is an apocalyptic number.

3803730840 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 3803730840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8516415600).

3803730840 is an abundant number, since it is smaller than the sum of its proper divisors (13229100360).

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

3803730840 is a wasteful number, since it uses less digits than its factorization.

3803730840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3803730840 is about 61674.3937140853. The cubic root of 3803730840 is about 1561.0012802714.

The spelling of 3803730840 in words is "three billion, eight hundred three million, seven hundred thirty thousand, eight hundred forty".