3800835584 has 240 divisors, whose sum is σ = 9779978208. Its totient is φ = 1436811264.

The previous prime is 3800835541. The next prime is 3800835667. The reversal of 3800835584 is 4855380083.

It is a super-3 number, since 3×3800835584³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39183824 + ... + 39183920.

Almost surely, 2^3800835584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3800835584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889989104).

3800835584 is an abundant number, since it is smaller than the sum of its proper divisors (5979142624).

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

3800835584 is an equidigital number, since it uses as much as digits as its factorization.

3800835584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The square root of 3800835584 is about 61650.9171383525. The cubic root of 3800835584 is about 1560.6051213694.

The spelling of 3800835584 in words is "three billion, eight hundred million, eight hundred thirty-five thousand, five hundred eighty-four".