3827965900 has 72 divisors (see below), whose sum is σ = 9455894784. Its totient is φ = 1331457600.

The previous prime is 3827965859. The next prime is 3827965907. The reversal of 3827965900 is 95697283.

3827965900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3827965907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50352 + ... + 100951.

It is an arithmetic number, because the mean of its divisors is an integer number (131331872).

Almost surely, 2^3827965900 is an apocalyptic number.

It is an amenable number.

3827965900 is an abundant number, since it is smaller than the sum of its proper divisors (5627928884).

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

3827965900 is a wasteful number, since it uses less digits than its factorization.

3827965900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151351 (or 151344 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The square root of 3827965900 is about 61870.5576183050. The cubic root of 3827965900 is about 1564.3095144917.

The spelling of 3827965900 in words is "three billion, eight hundred twenty-seven million, nine hundred sixty-five thousand, nine hundred".