3745222400 has 216 divisors, whose sum is σ = 10162318320. Its totient is φ = 1360199680.

The previous prime is 3745222391. The next prime is 3745222421. The reversal of 3745222400 is 42225473.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

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, 3154607 + ... + 3155793.

It is an arithmetic number, because the mean of its divisors is an integer number (47047770).

Almost surely, 2^3745222400 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 3745222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081159160).

3745222400 is an abundant number, since it is smaller than the sum of its proper divisors (6417095920).

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

3745222400 is a wasteful number, since it uses less digits than its factorization.

3745222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 3745222400 is about 61198.2221964004. Note that the first 3 decimals coincide. The cubic root of 3745222400 is about 1552.9561897394.

Adding to 3745222400 its reverse (42225473), we get a palindrome (3787447873).

The spelling of 3745222400 in words is "three billion, seven hundred forty-five million, two hundred twenty-two thousand, four hundred".