3913856640 has 384 divisors, whose sum is σ = 14572846080. Its totient is φ = 965099520.

The previous prime is 3913856599. The next prime is 3913856647. The reversal of 3913856640 is 466583193.

3913856640 is a `hidden beast` number, since 39 + 13 + 8 + 566 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (3913856647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4106404 + ... + 4107356.

It is an arithmetic number, because the mean of its divisors is an integer number (37950120).

Almost surely, 2^3913856640 is an apocalyptic number.

3913856640 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 3913856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7286423040).

3913856640 is an abundant number, since it is smaller than the sum of its proper divisors (10658989440).

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

3913856640 is a wasteful number, since it uses less digits than its factorization.

3913856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1017 counting only the distinct ones).

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

The square root of 3913856640 is about 62560.8235239914. The cubic root of 3913856640 is about 1575.9229178890.

The spelling of 3913856640 in words is "three billion, nine hundred thirteen million, eight hundred fifty-six thousand, six hundred forty".