3795966720 has 1152 divisors, whose sum is σ = 17801441280. Its totient is φ = 743178240.

The previous prime is 3795966677. The next prime is 3795966731. The reversal of 3795966720 is 276695973.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53464285 + ... + 53464355.

It is an arithmetic number, because the mean of its divisors is an integer number (15452640).

Almost surely, 2^3795966720 is an apocalyptic number.

3795966720 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 3795966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8900720640).

3795966720 is an abundant number, since it is smaller than the sum of its proper divisors (14005474560).

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

3795966720 is a wasteful number, since it uses less digits than its factorization.

3795966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

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

The square root of 3795966720 is about 61611.4171237767. The cubic root of 3795966720 is about 1559.9384591107.

The spelling of 3795966720 in words is "three billion, seven hundred ninety-five million, nine hundred sixty-six thousand, seven hundred twenty".