3755030084100 has 189 divisors, whose sum is σ = 12218736646767. Its totient is φ = 1001201834880.

The previous prime is 3755030084077. The next prime is 3755030084101. The reversal of 3755030084100 is 14800305573.

The square root of 3755030084100 is 1937790.

It is a perfect power (a square), and thus also a powerful number.

3755030084100 is a `hidden beast` number, since 3 + 75 + 503 + 0 + 0 + 84 + 1 + 0 + 0 = 666.

3755030084100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 524613387204 + 3230416696896 = 724302^2 + 1797336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3755030084101) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 523199712 + ... + 523206888.

Almost surely, 2^{3755030084100} is an apocalyptic number.

3755030084100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3755030084100 is the 1937790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3755030084100

3755030084100 is an abundant number, since it is smaller than the sum of its proper divisors (8463706562667).

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

3755030084100 is an frugal number, since it uses more digits than its factorization.

3755030084100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14386 (or 7187 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 3755030084100 by its sum of digits (36), we get a square (135181083027600 = 11626740²).

3755030084100 divided by its sum of digits (36) gives a square (104306391225 = 322965²).

Adding to 3755030084100 its reverse (14800305573), we get a palindrome (3769830389673).

The spelling of 3755030084100 in words is "three trillion, seven hundred fifty-five billion, thirty million, eighty-four thousand, one hundred".