3895790976 has 384 divisors, whose sum is σ = 14366626560. Its totient is φ = 983715840.

The previous prime is 3895790971. The next prime is 3895790999. The reversal of 3895790976 is 6790975983.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3895790971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3281455 + ... + 3282641.

It is an arithmetic number, because the mean of its divisors is an integer number (37413090).

Almost surely, 2^3895790976 is an apocalyptic number.

3895790976 is a gapful number since it is divisible by the number (36) 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 3895790976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7183313280).

3895790976 is an abundant number, since it is smaller than the sum of its proper divisors (10470835584).

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

3895790976 is a wasteful number, since it uses less digits than its factorization.

3895790976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The square root of 3895790976 is about 62416.2717246072. The cubic root of 3895790976 is about 1573.4944512456.

The spelling of 3895790976 in words is "three billion, eight hundred ninety-five million, seven hundred ninety thousand, nine hundred seventy-six".