3934745760 has 288 divisors, whose sum is σ = 13999499136. Its totient is φ = 927590400.

The previous prime is 3934745753. The next prime is 3934745791. The reversal of 3934745760 is 675474393.

3934745760 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2148045 + ... + 2149875.

It is an arithmetic number, because the mean of its divisors is an integer number (48609372).

Almost surely, 2^3934745760 is an apocalyptic number.

3934745760 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 3934745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999749568).

3934745760 is an abundant number, since it is smaller than the sum of its proper divisors (10064753376).

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

3934745760 is a wasteful number, since it uses less digits than its factorization.

3934745760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 48.

The square root of 3934745760 is about 62727.5518412763. The cubic root of 3934745760 is about 1578.7216279195.

The spelling of 3934745760 in words is "three billion, nine hundred thirty-four million, seven hundred forty-five thousand, seven hundred sixty".