3943679040 has 672 divisors, whose sum is σ = 16912157184. Its totient is φ = 822804480.

The previous prime is 3943679039. The next prime is 3943679087. The reversal of 3943679040 is 409763493.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 12680485 + ... + 12680795.

Almost surely, 2^3943679040 is an apocalyptic number.

3943679040 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 3943679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8456078592).

3943679040 is an abundant number, since it is smaller than the sum of its proper divisors (12968478144).

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

3943679040 is a wasteful number, since it uses less digits than its factorization.

3943679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3943679040 is about 62798.7184582616. The cubic root of 3943679040 is about 1579.9154791085.

The spelling of 3943679040 in words is "three billion, nine hundred forty-three million, six hundred seventy-nine thousand, forty".