3742430400 has 252 divisors, whose sum is σ = 13361926032. Its totient is φ = 993454080.

The previous prime is 3742430381. The next prime is 3742430443. The reversal of 3742430400 is 40342473.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4218757 + ... + 4219643.

It is an arithmetic number, because the mean of its divisors is an integer number (53023516).

Almost surely, 2^3742430400 is an apocalyptic number.

3742430400 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 3742430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6680963016).

3742430400 is an abundant number, since it is smaller than the sum of its proper divisors (9619495632).

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

3742430400 is a wasteful number, since it uses less digits than its factorization.

3742430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 3742430400 is about 61175.4068233306. The cubic root of 3742430400 is about 1552.5701929414.

Adding to 3742430400 its reverse (40342473), we get a palindrome (3782772873).

The spelling of 3742430400 in words is "three billion, seven hundred forty-two million, four hundred thirty thousand, four hundred".