3712008100 has 18 divisors (see below), whose sum is σ = 8055057794. Its totient is φ = 1484803200.

The previous prime is 3712008073. The next prime is 3712008101. The reversal of 3712008100 is 18002173.

It can be written as a sum of positive squares in 3 ways, for example, as 415181376 + 3296826724 = 20376^2 + 57418^2 .

It is a super-2 number, since 2×3712008100² = 27558008268931220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3712008101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18559941 + ... + 18560140.

Almost surely, 2^3712008100 is an apocalyptic number.

It is an amenable number.

3712008100 is an abundant number, since it is smaller than the sum of its proper divisors (4343049694).

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

3712008100 is a wasteful number, since it uses less digits than its factorization.

3712008100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37120095 (or 37120088 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 3712008100 is about 60926.2513207566. The cubic root of 3712008100 is about 1548.3517824752.

The spelling of 3712008100 in words is "three billion, seven hundred twelve million, eight thousand, one hundred".