3776927616 has 768 divisors, whose sum is σ = 14970009600. Its totient is φ = 918190080.

The previous prime is 3776927603. The next prime is 3776927617. The reversal of 3776927616 is 6167296773.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3776927617) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45505111 + ... + 45505193.

It is an arithmetic number, because the mean of its divisors is an integer number (19492200).

Almost surely, 2^3776927616 is an apocalyptic number.

3776927616 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 3776927616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485004800).

3776927616 is an abundant number, since it is smaller than the sum of its proper divisors (11193081984).

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

3776927616 is a wasteful number, since it uses less digits than its factorization.

3776927616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 54.

The square root of 3776927616 is about 61456.7133517568. The cubic root of 3776927616 is about 1557.3260702368.

The spelling of 3776927616 in words is "three billion, seven hundred seventy-six million, nine hundred twenty-seven thousand, six hundred sixteen".