3801955584 has 288 divisors, whose sum is σ = 12131352576. Its totient is φ = 1034403840.

The previous prime is 3801955579. The next prime is 3801955621. The reversal of 3801955584 is 4855591083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10359369 + ... + 10359735.

It is an arithmetic number, because the mean of its divisors is an integer number (42122752).

Almost surely, 2^3801955584 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 3801955584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065676288).

3801955584 is an abundant number, since it is smaller than the sum of its proper divisors (8329396992).

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

3801955584 is a wasteful number, since it uses less digits than its factorization.

3801955584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The square root of 3801955584 is about 61659.9998702562. Note that the first 3 decimals coincide. The cubic root of 3801955584 is about 1560.7583952169.

The spelling of 3801955584 in words is "three billion, eight hundred one million, nine hundred fifty-five thousand, five hundred eighty-four".