3799105632 has 288 divisors, whose sum is σ = 13571107200. Its totient is φ = 1028111616.

The previous prime is 3799105627. The next prime is 3799105657. The reversal of 3799105632 is 2365019973.

3799105632 is a `hidden beast` number, since 3 + 7 + 9 + 9 + 1 + 0 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802023 + ... + 806745.

It is an arithmetic number, because the mean of its divisors is an integer number (47121900).

Almost surely, 2^3799105632 is an apocalyptic number.

3799105632 is a gapful number since it is divisible by the number (32) 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 3799105632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785553600).

3799105632 is an abundant number, since it is smaller than the sum of its proper divisors (9772001568).

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

3799105632 is a wasteful number, since it uses less digits than its factorization.

3799105632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 3799105632 is about 61636.8853203989. The cubic root of 3799105632 is about 1560.3683154009.

The spelling of 3799105632 in words is "three billion, seven hundred ninety-nine million, one hundred five thousand, six hundred thirty-two".