3755884800 has 432 divisors, whose sum is σ = 13522384512. Its totient is φ = 914227200.

The previous prime is 3755884787. The next prime is 3755884813. The reversal of 3755884800 is 84885573.

It is an interprime number because it is at equal distance from previous prime (3755884787) and next prime (3755884813).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3755884800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12076645 + ... + 12076955.

It is an arithmetic number, because the mean of its divisors is an integer number (31301816).

Almost surely, 2^3755884800 is an apocalyptic number.

3755884800 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 3755884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761192256).

3755884800 is an abundant number, since it is smaller than the sum of its proper divisors (9766499712).

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

3755884800 is a wasteful number, since it uses less digits than its factorization.

3755884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The square root of 3755884800 is about 61285.2739244918. The cubic root of 3755884800 is about 1554.4285145409.

The spelling of 3755884800 in words is "three billion, seven hundred fifty-five million, eight hundred eighty-four thousand, eight hundred".