3803042880 has 672 divisors, whose sum is σ = 16831543680. Its totient is φ = 801239040.

The previous prime is 3803042849. The next prime is 3803042909. The reversal of 3803042880 is 882403083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 5503335 + ... + 5504025.

It is an arithmetic number, because the mean of its divisors is an integer number (25046940).

Almost surely, 2^3803042880 is an apocalyptic number.

3803042880 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 3803042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8415771840).

3803042880 is an abundant number, since it is smaller than the sum of its proper divisors (13028500800).

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

3803042880 is a wasteful number, since it uses less digits than its factorization.

3803042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3803042880 is about 61668.8161066839. The cubic root of 3803042880 is about 1560.9071646748.

The spelling of 3803042880 in words is "three billion, eight hundred three million, forty-two thousand, eight hundred eighty".