3746437200 has 360 divisors, whose sum is σ = 14355956160. Its totient is φ = 897177600.

The previous prime is 3746437199. The next prime is 3746437207. The reversal of 3746437200 is 27346473.

It is a happy number.

3746437200 is a `hidden beast` number, since 3 + 7 + 4 + 643 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3746437207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3523869 + ... + 3524931.

It is an arithmetic number, because the mean of its divisors is an integer number (39877656).

Almost surely, 2^3746437200 is an apocalyptic number.

3746437200 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 3746437200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7177978080).

3746437200 is an abundant number, since it is smaller than the sum of its proper divisors (10609518960).

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

3746437200 is a wasteful number, since it uses less digits than its factorization.

3746437200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3746437200 is about 61208.1465166198. The cubic root of 3746437200 is about 1553.1240771653.

The spelling of 3746437200 in words is "three billion, seven hundred forty-six million, four hundred thirty-seven thousand, two hundred".