3945020019360 has 288 divisors, whose sum is σ = 14460155603712. Its totient is φ = 901439723520.

The previous prime is 3945020019341. The next prime is 3945020019383. The reversal of 3945020019360 is 639100205493.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81378489 + ... + 81426951.

It is an arithmetic number, because the mean of its divisors is an integer number (50208873624).

Almost surely, 2^{3945020019360} is an apocalyptic number.

3945020019360 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 3945020019360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7230077801856).

3945020019360 is an abundant number, since it is smaller than the sum of its proper divisors (10515135584352).

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

3945020019360 is a wasteful number, since it uses less digits than its factorization.

3945020019360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51956 (or 51941 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 3945020019360 in words is "three trillion, nine hundred forty-five billion, twenty million, nineteen thousand, three hundred sixty".