3945400000000 has 180 divisors, whose sum is σ = 9854362142064. Its totient is φ = 1578080000000.

The previous prime is 3945399999859. The next prime is 3945400000043. The reversal of 3945400000000 is 45493.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 199990137 + ... + 200009863.

Almost surely, 2^{3945400000000} 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 3945400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927181071032).

3945400000000 is an abundant number, since it is smaller than the sum of its proper divisors (5908962142064).

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

3945400000000 is an frugal number, since it uses more digits than its factorization.

3945400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19785 (or 19734 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 3945400000000 its reverse (45493), we get a palindrome (3945400045493).

The spelling of 3945400000000 in words is "three trillion, nine hundred forty-five billion, four hundred million", and thus it is an aban number.