3749905600 has 168 divisors, whose sum is σ = 10831474400. Its totient is φ = 1250795520.

The previous prime is 3749905597. The next prime is 3749905603. The reversal of 3749905600 is 65099473.

It is an interprime number because it is at equal distance from previous prime (3749905597) and next prime (3749905603).

It is a super-2 number, since 2×3749905600² = 28123584017822720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3749905603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 409876 + ... + 418924.

Almost surely, 2^3749905600 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 3749905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415737200).

3749905600 is an abundant number, since it is smaller than the sum of its proper divisors (7081568800).

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

3749905600 is a wasteful number, since it uses less digits than its factorization.

3749905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9115 (or 9100 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 43.

The square root of 3749905600 is about 61236.4727919563. The cubic root of 3749905600 is about 1553.6032163009.

The spelling of 3749905600 in words is "three billion, seven hundred forty-nine million, nine hundred five thousand, six hundred".