3754249200 has 360 divisors, whose sum is σ = 14192247888. Its totient is φ = 913489920.

The previous prime is 3754249181. The next prime is 3754249207. The reversal of 3754249200 is 29424573.

3754249200 is a `hidden beast` number, since 375 + 42 + 49 + 200 = 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 (3754249207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4539187 + ... + 4540013.

Almost surely, 2^3754249200 is an apocalyptic number.

3754249200 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 3754249200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7096123944).

3754249200 is an abundant number, since it is smaller than the sum of its proper divisors (10437998688).

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

3754249200 is a wasteful number, since it uses less digits than its factorization.

3754249200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3754249200 is about 61271.9283195820. The cubic root of 3754249200 is about 1554.2028426900.

The spelling of 3754249200 in words is "three billion, seven hundred fifty-four million, two hundred forty-nine thousand, two hundred".