3768278976 has 448 divisors, whose sum is σ = 13982760960. Its totient is φ = 966712320.

The previous prime is 3768278953. The next prime is 3768279017. The reversal of 3768278976 is 6798728673.

3768278976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16898001 + ... + 16898223.

It is an arithmetic number, because the mean of its divisors is an integer number (31211520).

Almost surely, 2^3768278976 is an apocalyptic number.

3768278976 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 3768278976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6991380480).

3768278976 is an abundant number, since it is smaller than the sum of its proper divisors (10214481984).

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

3768278976 is a wasteful number, since it uses less digits than its factorization.

3768278976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 373 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The square root of 3768278976 is about 61386.3093531449. The cubic root of 3768278976 is about 1556.1364749239.

The spelling of 3768278976 in words is "three billion, seven hundred sixty-eight million, two hundred seventy-eight thousand, nine hundred seventy-six".