3776467968 has 704 divisors, whose sum is σ = 14672896000. Its totient is φ = 931627008.

The previous prime is 3776467963. The next prime is 3776467969. The reversal of 3776467968 is 8697646773.

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.

Its product of digits (64012032) is a multiple of the sum of its prime factors (147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3776467963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47803353 + ... + 47803431.

Almost surely, 2^3776467968 is an apocalyptic number.

3776467968 is a gapful number since it is divisible by the number (38) 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 3776467968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7336448000).

3776467968 is an abundant number, since it is smaller than the sum of its proper divisors (10896428032).

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

3776467968 is a wasteful number, since it uses less digits than its factorization.

3776467968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 123 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 63.

The square root of 3776467968 is about 61452.9736302484. The cubic root of 3776467968 is about 1557.2628927085.

The spelling of 3776467968 in words is "three billion, seven hundred seventy-six million, four hundred sixty-seven thousand, nine hundred sixty-eight".