3711668400 has 480 divisors, whose sum is σ = 14576448000. Its totient is φ = 889574400.

The previous prime is 3711668393. The next prime is 3711668413. The reversal of 3711668400 is 48661173.

3711668400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18651501 + ... + 18651699.

It is an arithmetic number, because the mean of its divisors is an integer number (30367600).

Almost surely, 2^3711668400 is an apocalyptic number.

3711668400 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 3711668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7288224000).

3711668400 is an abundant number, since it is smaller than the sum of its proper divisors (10864779600).

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

3711668400 is a wasteful number, since it uses less digits than its factorization.

3711668400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3711668400 is about 60923.4634603122. The cubic root of 3711668400 is about 1548.3045491779.

The spelling of 3711668400 in words is "three billion, seven hundred eleven million, six hundred sixty-eight thousand, four hundred".