3795348960 has 336 divisors, whose sum is σ = 14483526624. Its totient is φ = 933866496.

The previous prime is 3795348959. The next prime is 3795348961. The reversal of 3795348960 is 698435973.

It is an interprime number because it is at equal distance from previous prime (3795348959) and next prime (3795348961).

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 = 3795348897 and 3795348906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3795348961) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1515069 + ... + 1517571.

It is an arithmetic number, because the mean of its divisors is an integer number (43105734).

Almost surely, 2^3795348960 is an apocalyptic number.

3795348960 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 3795348960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7241763312).

3795348960 is an abundant number, since it is smaller than the sum of its proper divisors (10688177664).

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

3795348960 is a wasteful number, since it uses less digits than its factorization.

3795348960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 3795348960 is about 61606.4035632661. The cubic root of 3795348960 is about 1559.8538324588.

The spelling of 3795348960 in words is "three billion, seven hundred ninety-five million, three hundred forty-eight thousand, nine hundred sixty".