3753080100 has 432 divisors, whose sum is σ = 15148363776. Its totient is φ = 754272000.

The previous prime is 3753080087. The next prime is 3753080129. The reversal of 3753080100 is 10803573.

It is a super-2 number, since 2×3753080100² = 28171220474032020000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2147427 + ... + 2149173.

Almost surely, 2^3753080100 is an apocalyptic number.

3753080100 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 3753080100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7574181888).

3753080100 is an abundant number, since it is smaller than the sum of its proper divisors (11395283676).

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

3753080100 is a wasteful number, since it uses less digits than its factorization.

3753080100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 3753080100 is about 61262.3873188109. The cubic root of 3753080100 is about 1554.0414959875.

Adding to 3753080100 its reverse (10803573), we get a palindrome (3763883673).

The spelling of 3753080100 in words is "three billion, seven hundred fifty-three million, eighty thousand, one hundred".