3764545800 has 96 divisors (see below), whose sum is σ = 11703268800. Its totient is φ = 1001025280.

The previous prime is 3764545789. The next prime is 3764545801. The reversal of 3764545800 is 85454673.

It is not an unprimeable number, because it can be changed into a prime (3764545801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206662 + ... + 224138.

It is an arithmetic number, because the mean of its divisors is an integer number (121909050).

Almost surely, 2^3764545800 is an apocalyptic number.

3764545800 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 3764545800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851634400).

3764545800 is an abundant number, since it is smaller than the sum of its proper divisors (7938723000).

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

3764545800 is a wasteful number, since it uses less digits than its factorization.

3764545800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17855 (or 17846 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 3764545800 is about 61355.8945823464. The cubic root of 3764545800 is about 1555.6224249788.

The spelling of 3764545800 in words is "three billion, seven hundred sixty-four million, five hundred forty-five thousand, eight hundred".