3940354656 has 144 divisors (see below), whose sum is σ = 13559573664. Its totient is φ = 1059581952.

The previous prime is 3940354643. The next prime is 3940354667. The reversal of 3940354656 is 6564530493.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23215 + ... + 91758.

It is an arithmetic number, because the mean of its divisors is an integer number (94163706).

Almost surely, 2^3940354656 is an apocalyptic number.

3940354656 is a gapful number since it is divisible by the number (36) 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 3940354656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6779786832).

3940354656 is an abundant number, since it is smaller than the sum of its proper divisors (9619219008).

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

3940354656 is a wasteful number, since it uses less digits than its factorization.

3940354656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115013 (or 115002 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The square root of 3940354656 is about 62772.2443122755. The cubic root of 3940354656 is about 1579.4714164115.

The spelling of 3940354656 in words is "three billion, nine hundred forty million, three hundred fifty-four thousand, six hundred fifty-six".