3675996900 has 243 divisors, whose sum is σ = 12052725321. Its totient is φ = 937097280.

The previous prime is 3675996811. The next prime is 3675996931. The reversal of 3675996900 is 96995763.

The square root of 3675996900 is 60630.

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

3675996900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1323358884 + 2352638016 = 36378^2 + 48504^2 .

It is a super-2 number, since 2×3675996900² = 27025906417619220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 78212677 + ... + 78212723.

Almost surely, 2^3675996900 is an apocalyptic number.

3675996900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3675996900 is the 60630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3675996900

3675996900 is an abundant number, since it is smaller than the sum of its proper divisors (8376728421).

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

3675996900 is a wasteful number, since it uses less digits than its factorization.

3675996900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The cubic root of 3675996900 is about 1543.3285093413.

The spelling of 3675996900 in words is "three billion, six hundred seventy-five million, nine hundred ninety-six thousand, nine hundred".