3714758400 has 432 divisors, whose sum is σ = 13686624000. Its totient is φ = 881786880.

The previous prime is 3714758389. The next prime is 3714758423. The reversal of 3714758400 is 48574173.

3714758400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 6201301 + ... + 6201899.

It is an arithmetic number, because the mean of its divisors is an integer number (31682000).

Almost surely, 2^3714758400 is an apocalyptic number.

3714758400 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 3714758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6843312000).

3714758400 is an abundant number, since it is smaller than the sum of its proper divisors (9971865600).

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

3714758400 is a wasteful number, since it uses less digits than its factorization.

3714758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 3714758400 is about 60948.8178720474. The cubic root of 3714758400 is about 1548.7340895272.

The spelling of 3714758400 in words is "three billion, seven hundred fourteen million, seven hundred fifty-eight thousand, four hundred".