3742675200 has 648 divisors, whose sum is σ = 15169341600. Its totient is φ = 902246400.

The previous prime is 3742675193. The next prime is 3742675241. The reversal of 3742675200 is 25762473.

It is a happy number.

3742675200 is a `hidden beast` number, since 3 + 74 + 2 + 67 + 520 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20908711 + ... + 20908889.

Almost surely, 2^3742675200 is an apocalyptic number.

3742675200 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 3742675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584670800).

3742675200 is an abundant number, since it is smaller than the sum of its proper divisors (11426666400).

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

3742675200 is a wasteful number, since it uses less digits than its factorization.

3742675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 3742675200 is about 61177.4075946341. The cubic root of 3742675200 is about 1552.6040444635.

The spelling of 3742675200 in words is "three billion, seven hundred forty-two million, six hundred seventy-five thousand, two hundred".