3720014400 has 168 divisors, whose sum is σ = 12265928224. Its totient is φ = 987033600.

The previous prime is 3720014387. The next prime is 3720014429. The reversal of 3720014400 is 44100273.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1010964 + ... + 1014636.

Almost surely, 2^3720014400 is an apocalyptic number.

3720014400 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 3720014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132964112).

3720014400 is an abundant number, since it is smaller than the sum of its proper divisors (8545913824).

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

3720014400 is a wasteful number, since it uses less digits than its factorization.

3720014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 3720014400 is about 60991.9207764438. The cubic root of 3720014400 is about 1549.4641783026.

Adding to 3720014400 its reverse (44100273), we get a palindrome (3764114673).

The spelling of 3720014400 in words is "three billion, seven hundred twenty million, fourteen thousand, four hundred".