3745134800 has 120 divisors (see below), whose sum is σ = 10132660992. Its totient is φ = 1317888000.

The previous prime is 3745134797. The next prime is 3745134823. The reversal of 3745134800 is 84315473.

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 23 ways as a sum of consecutive naturals, for example, 122672 + ... + 150128.

Almost surely, 2^3745134800 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 3745134800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066330496).

3745134800 is an abundant number, since it is smaller than the sum of its proper divisors (6387526192).

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

3745134800 is a wasteful number, since it uses less digits than its factorization.

3745134800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27517 (or 27506 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 3745134800 is about 61197.5064851502. The cubic root of 3745134800 is about 1552.9440818672.

The spelling of 3745134800 in words is "three billion, seven hundred forty-five million, one hundred thirty-four thousand, eight hundred".