3797969760 has 288 divisors, whose sum is σ = 14566039488. Its totient is φ = 894136320.

The previous prime is 3797969723. The next prime is 3797969767. The reversal of 3797969760 is 679697973.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3797969767) 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 47 ways as a sum of consecutive naturals, for example, 426150 + ... + 434970.

It is an arithmetic number, because the mean of its divisors is an integer number (50576526).

Almost surely, 2^3797969760 is an apocalyptic number.

3797969760 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 3797969760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7283019744).

3797969760 is an abundant number, since it is smaller than the sum of its proper divisors (10768069728).

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

3797969760 is a wasteful number, since it uses less digits than its factorization.

3797969760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8878 (or 8867 counting only the distinct ones).

The product of its (nonzero) digits is 27005076, while the sum is 63.

The square root of 3797969760 is about 61627.6704086728. The cubic root of 3797969760 is about 1560.2127914857.

The spelling of 3797969760 in words is "three billion, seven hundred ninety-seven million, nine hundred sixty-nine thousand, seven hundred sixty".