3914386560 has 960 divisors, whose sum is σ = 17221533120. Its totient is φ = 843042816.

The previous prime is 3914386543. The next prime is 3914386571. The reversal of 3914386560 is 656834193.

3914386560 is a `hidden beast` number, since 3 + 9 + 1 + 4 + 3 + 86 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3914386560² = 30644844282217267200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 58423647 + ... + 58423713.

It is an arithmetic number, because the mean of its divisors is an integer number (17939097).

Almost surely, 2^3914386560 is an apocalyptic number.

3914386560 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 3914386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8610766560).

3914386560 is an abundant number, since it is smaller than the sum of its proper divisors (13307146560).

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

3914386560 is a wasteful number, since it uses less digits than its factorization.

3914386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3914386560 is about 62565.0586190087. The cubic root of 3914386560 is about 1575.9940391608.

The spelling of 3914386560 in words is "three billion, nine hundred fourteen million, three hundred eighty-six thousand, five hundred sixty".