3748057200 has 90 divisors (see below), whose sum is σ = 13006812104. Its totient is φ = 999480960.

The previous prime is 3748057171. The next prime is 3748057217. The reversal of 3748057200 is 27508473.

3748057200 is a `hidden beast` number, since 3 + 7 + 4 + 80 + 572 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

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

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 17 ways as a sum of consecutive naturals, for example, 516964 + ... + 524163.

Almost surely, 2^3748057200 is an apocalyptic number.

3748057200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3748057200 is an abundant number, since it is smaller than the sum of its proper divisors (9258754904).

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

3748057200 is a wasteful number, since it uses less digits than its factorization.

3748057200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041151 (or 1041137 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 3748057200 is about 61221.3786189106. The cubic root of 3748057200 is about 1553.3479074607.

The spelling of 3748057200 in words is "three billion, seven hundred forty-eight million, fifty-seven thousand, two hundred".