3745828800 has 420 divisors, whose sum is σ = 15739496080. Its totient is φ = 855982080.

The previous prime is 3745828781. The next prime is 3745828843. The reversal of 3745828800 is 88285473.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 59 ways as a sum of consecutive naturals, for example, 905136 + ... + 909264.

Almost surely, 2^3745828800 is an apocalyptic number.

3745828800 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 3745828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7869748040).

3745828800 is an abundant number, since it is smaller than the sum of its proper divisors (11993667280).

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

3745828800 is a wasteful number, since it uses less digits than its factorization.

3745828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3745828800 is about 61203.1763881582. The cubic root of 3745828800 is about 1553.0399997879.

The spelling of 3745828800 in words is "three billion, seven hundred forty-five million, eight hundred twenty-eight thousand, eight hundred".