3940890624 has 576 divisors, whose sum is σ = 13942656000. Its totient is φ = 1094860800.

The previous prime is 3940890623. The next prime is 3940890641. The reversal of 3940890624 is 4260980493.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3940890624² = 31061237820662218752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3940890624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3940890623) 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, 127125489 + ... + 127125519.

It is an arithmetic number, because the mean of its divisors is an integer number (24206000).

Almost surely, 2^3940890624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3940890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6971328000).

3940890624 is an abundant number, since it is smaller than the sum of its proper divisors (10001765376).

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

3940890624 is a wasteful number, since it uses less digits than its factorization.

3940890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3940890624 is about 62776.5133150926. The cubic root of 3940890624 is about 1579.5430265270.

The spelling of 3940890624 in words is "three billion, nine hundred forty million, eight hundred ninety thousand, six hundred twenty-four".