3940245703680 has 2112 divisors, whose sum is σ = 16182529743744. Its totient is φ = 809710387200.

The previous prime is 3940245703679. The next prime is 3940245703727. The reversal of 3940245703680 is 863075420493.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21769313190 + ... + 21769313370.

Almost surely, 2^{3940245703680} is an apocalyptic number.

3940245703680 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 3940245703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8091264871872).

3940245703680 is an abundant number, since it is smaller than the sum of its proper divisors (12242284040064).

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

3940245703680 is a wasteful number, since it uses less digits than its factorization.

3940245703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 3940245703680 in words is "three trillion, nine hundred forty billion, two hundred forty-five million, seven hundred three thousand, six hundred eighty".