3942916480 has 128 divisors (see below), whose sum is σ = 10134720000. Its totient is φ = 1462155264.

The previous prime is 3942916463. The next prime is 3942916493. The reversal of 3942916480 is 846192493.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3942916480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568071 + ... + 574969.

It is an arithmetic number, because the mean of its divisors is an integer number (79177500).

Almost surely, 2^3942916480 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 3942916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067360000).

3942916480 is an abundant number, since it is smaller than the sum of its proper divisors (6191803520).

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

3942916480 is a wasteful number, since it uses less digits than its factorization.

3942916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6984 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 3942916480 is about 62792.6467032566. The cubic root of 3942916480 is about 1579.8136403603.

The spelling of 3942916480 in words is "three billion, nine hundred forty-two million, nine hundred sixteen thousand, four hundred eighty".