3795240960 has 768 divisors, whose sum is σ = 16133644800. Its totient is φ = 828112896.

The previous prime is 3795240959. The next prime is 3795240961. The reversal of 3795240960 is 690425973.

It is a happy number.

3795240960 is a `hidden beast` number, since 37 + 9 + 524 + 0 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3795240959) and next prime (3795240961).

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3795240961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71608294 + ... + 71608346.

It is an arithmetic number, because the mean of its divisors is an integer number (21007350).

Almost surely, 2^3795240960 is an apocalyptic number.

3795240960 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 3795240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066822400).

3795240960 is an abundant number, since it is smaller than the sum of its proper divisors (12338403840).

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

3795240960 is a wasteful number, since it uses less digits than its factorization.

3795240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3795240960 is about 61605.5270247727. The cubic root of 3795240960 is about 1559.8390366465.

The spelling of 3795240960 in words is "three billion, seven hundred ninety-five million, two hundred forty thousand, nine hundred sixty".