3795148800 has 504 divisors, whose sum is σ = 14261073840. Its totient is φ = 963379200.

The previous prime is 3795148789. The next prime is 3795148801. The reversal of 3795148800 is 88415973.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3795148801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53452765 + ... + 53452835.

Almost surely, 2^3795148800 is an apocalyptic number.

3795148800 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 3795148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7130536920).

3795148800 is an abundant number, since it is smaller than the sum of its proper divisors (10465925040).

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

3795148800 is a wasteful number, since it uses less digits than its factorization.

3795148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3795148800 is about 61604.7790353963. The cubic root of 3795148800 is about 1559.8264106648.

The spelling of 3795148800 in words is "three billion, seven hundred ninety-five million, one hundred forty-eight thousand, eight hundred".