3806249760 has 288 divisors, whose sum is σ = 13889086848. Its totient is φ = 946851840.

The previous prime is 3806249729. The next prime is 3806249767. The reversal of 3806249760 is 679426083.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3806249767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1356519 + ... + 1359321.

It is an arithmetic number, because the mean of its divisors is an integer number (48225996).

Almost surely, 2^3806249760 is an apocalyptic number.

3806249760 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 3806249760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944543424).

3806249760 is an abundant number, since it is smaller than the sum of its proper divisors (10082837088).

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

3806249760 is a wasteful number, since it uses less digits than its factorization.

3806249760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3806249760 is about 61694.8114512071. The cubic root of 3806249760 is about 1561.3457814876.

The spelling of 3806249760 in words is "three billion, eight hundred six million, two hundred forty-nine thousand, seven hundred sixty".