3945756400 has 60 divisors (see below), whose sum is σ = 9566755000. Its totient is φ = 1563805440.

The previous prime is 3945756307. The next prime is 3945756427. The reversal of 3945756400 is 46575493.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1650 + ... + 88849.

Almost surely, 2^3945756400 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 3945756400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4783377500).

3945756400 is an abundant number, since it is smaller than the sum of its proper divisors (5620998600).

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

3945756400 is a wasteful number, since it uses less digits than its factorization.

3945756400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90626 (or 90615 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The square root of 3945756400 is about 62815.2561086875. The cubic root of 3945756400 is about 1580.1928408540.

The spelling of 3945756400 in words is "three billion, nine hundred forty-five million, seven hundred fifty-six thousand, four hundred".