3714940800 has 768 divisors, whose sum is σ = 14975232000. Its totient is φ = 895795200.

The previous prime is 3714940799. The next prime is 3714940829. The reversal of 3714940800 is 80494173.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50889564 + ... + 50889636.

It is an arithmetic number, because the mean of its divisors is an integer number (19499000).

Almost surely, 2^3714940800 is an apocalyptic number.

3714940800 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 3714940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7487616000).

3714940800 is an abundant number, since it is smaller than the sum of its proper divisors (11260291200).

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

3714940800 is a wasteful number, since it uses less digits than its factorization.

3714940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 133 counting only the distinct ones).

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

The square root of 3714940800 is about 60950.3141911508. The cubic root of 3714940800 is about 1548.7594374722.

The spelling of 3714940800 in words is "three billion, seven hundred fourteen million, nine hundred forty thousand, eight hundred".