3895008100 has 45 divisors (see below), whose sum is σ = 8560528697. Its totient is φ = 1538281680.

The previous prime is 3895008079. The next prime is 3895008119. The reversal of 3895008100 is 18005983.

The square root of 3895008100 is 62410.

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

It can be written as a sum of positive squares in only one way, i.e., 1402202916 + 2492805184 = 37446^2 + 49928^2 .

It is a super-2 number, since 2×3895008100² = 30342176198131220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 49303861 + ... + 49303939.

Almost surely, 2^3895008100 is an apocalyptic number.

3895008100 is the 62410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3895008100

3895008100 is an abundant number, since it is smaller than the sum of its proper divisors (4665520597).

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

3895008100 is an frugal number, since it uses more digits than its factorization.

3895008100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The cubic root of 3895008100 is about 1573.3890440190.

The spelling of 3895008100 in words is "three billion, eight hundred ninety-five million, eight thousand, one hundred".