3934656648 has 480 divisors, whose sum is σ = 13179513600. Its totient is φ = 1091750400.

The previous prime is 3934656631. The next prime is 3934656689. The reversal of 3934656648 is 8466564393.

3934656648 is a `hidden beast` number, since 3 + 9 + 34 + 6 + 566 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3934656594 and 3934656603.

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, 64502538 + ... + 64502598.

It is an arithmetic number, because the mean of its divisors is an integer number (27457320).

Almost surely, 2^3934656648 is an apocalyptic number.

3934656648 is a gapful number since it is divisible by the number (38) 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 3934656648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589756800).

3934656648 is an abundant number, since it is smaller than the sum of its proper divisors (9244856952).

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

3934656648 is a wasteful number, since it uses less digits than its factorization.

3934656648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The square root of 3934656648 is about 62726.8415273717. The cubic root of 3934656648 is about 1578.7097098175.

The spelling of 3934656648 in words is "three billion, nine hundred thirty-four million, six hundred fifty-six thousand, six hundred forty-eight".