3795180480 has 560 divisors, whose sum is σ = 16625864640. Its totient is φ = 800243712.

The previous prime is 3795180463. The next prime is 3795180509. The reversal of 3795180480 is 840815973.

3795180480 is a `hidden beast` number, since 3 + 7 + 95 + 1 + 80 + 480 = 666.

3795180480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2357916 + ... + 2359524.

It is an arithmetic number, because the mean of its divisors is an integer number (29689044).

Almost surely, 2^3795180480 is an apocalyptic number.

3795180480 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 3795180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8312932320).

3795180480 is an abundant number, since it is smaller than the sum of its proper divisors (12830684160).

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

3795180480 is a wasteful number, since it uses less digits than its factorization.

3795180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3795180480 is about 61605.0361577688. The cubic root of 3795180480 is about 1559.8307508691.

The spelling of 3795180480 in words is "three billion, seven hundred ninety-five million, one hundred eighty thousand, four hundred eighty".