3815745600 has 252 divisors, whose sum is σ = 12804572816. Its totient is φ = 994805760.

The previous prime is 3815745587. The next prime is 3815745601. The reversal of 3815745600 is 65475183.

It is not an unprimeable number, because it can be changed into a prime (3815745601) 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, 13483059 + ... + 13483341.

Almost surely, 2^3815745600 is an apocalyptic number.

3815745600 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 3815745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402286408).

3815745600 is an abundant number, since it is smaller than the sum of its proper divisors (8988827216).

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

3815745600 is a wasteful number, since it uses less digits than its factorization.

3815745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 3815745600 is about 61771.7216855739. The cubic root of 3815745600 is about 1562.6431194770.

The spelling of 3815745600 in words is "three billion, eight hundred fifteen million, seven hundred forty-five thousand, six hundred".