3795517440 has 680 divisors, whose sum is σ = 15986467728. Its totient is φ = 849346560.

The previous prime is 3795517423. The next prime is 3795517441. The reversal of 3795517440 is 447155973.

3795517440 is a `hidden beast` number, since 3 + 7 + 95 + 517 + 4 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3795517441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 291962874 + ... + 291962886.

Almost surely, 2^3795517440 is an apocalyptic number.

3795517440 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 3795517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7993233864).

3795517440 is an abundant number, since it is smaller than the sum of its proper divisors (12190950288).

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

3795517440 is an equidigital number, since it uses as much as digits as its factorization.

3795517440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 3795517440 is about 61607.7709384133. The cubic root of 3795517440 is about 1559.8769133654.

The spelling of 3795517440 in words is "three billion, seven hundred ninety-five million, five hundred seventeen thousand, four hundred forty".