3714726400 has 240 divisors, whose sum is σ = 11477568960. Its totient is φ = 1157529600.

The previous prime is 3714726349. The next prime is 3714726409. The reversal of 3714726400 is 46274173.

It is not an unprimeable number, because it can be changed into a prime (3714726409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 983716 + ... + 987484.

It is an arithmetic number, because the mean of its divisors is an integer number (47823204).

Almost surely, 2^3714726400 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 3714726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5738784480).

3714726400 is an abundant number, since it is smaller than the sum of its proper divisors (7762842560).

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

3714726400 is a wasteful number, since it uses less digits than its factorization.

3714726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3815 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 3714726400 is about 60948.5553561362. Note that the first 3 decimals coincide. The cubic root of 3714726400 is about 1548.7296424338.

The spelling of 3714726400 in words is "three billion, seven hundred fourteen million, seven hundred twenty-six thousand, four hundred".