3799625760 has 576 divisors, whose sum is σ = 16061939712. Its totient is φ = 829357056.

The previous prime is 3799625741. The next prime is 3799625761. The reversal of 3799625760 is 675269973.

3799625760 is a `hidden beast` number, since 3 + 7 + 9 + 9 + 62 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3799625697 and 3799625706.

It is not an unprimeable number, because it can be changed into a prime (3799625761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6259377 + ... + 6259983.

It is an arithmetic number, because the mean of its divisors is an integer number (27885312).

Almost surely, 2^3799625760 is an apocalyptic number.

3799625760 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 3799625760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8030969856).

3799625760 is an abundant number, since it is smaller than the sum of its proper divisors (12262313952).

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

3799625760 is a wasteful number, since it uses less digits than its factorization.

3799625760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The square root of 3799625760 is about 61641.1044677170. The cubic root of 3799625760 is about 1560.4395211262.

The spelling of 3799625760 in words is "three billion, seven hundred ninety-nine million, six hundred twenty-five thousand, seven hundred sixty".