3752819200 has 240 divisors, whose sum is σ = 10549012320. Its totient is φ = 1311621120.

The previous prime is 3752819159. The next prime is 3752819233. The reversal of 3752819200 is 29182573.

It is a self number, because there is not a number n which added to its sum of digits gives 3752819200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3161007 + ... + 3162193.

It is an arithmetic number, because the mean of its divisors is an integer number (43954218).

Almost surely, 2^3752819200 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 3752819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274506160).

3752819200 is an abundant number, since it is smaller than the sum of its proper divisors (6796193120).

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

3752819200 is a wasteful number, since it uses less digits than its factorization.

3752819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 3752819200 is about 61260.2579165318. The cubic root of 3752819200 is about 1554.0054847815.

The spelling of 3752819200 in words is "three billion, seven hundred fifty-two million, eight hundred nineteen thousand, two hundred".