3776398080 has 576 divisors, whose sum is σ = 15131225088. Its totient is φ = 781516800.

The previous prime is 3776398079. The next prime is 3776398091. The reversal of 3776398080 is 808936773.

It is a super-2 number, since 2×3776398080² = 28522364917255372800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35293387 + ... + 35293493.

It is an arithmetic number, because the mean of its divisors is an integer number (26269488).

Almost surely, 2^3776398080 is an apocalyptic number.

3776398080 is a gapful number since it is divisible by the number (30) 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 3776398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7565612544).

3776398080 is an abundant number, since it is smaller than the sum of its proper divisors (11354827008).

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

3776398080 is a wasteful number, since it uses less digits than its factorization.

3776398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 3776398080 is about 61452.4049976891. The cubic root of 3776398080 is about 1557.2532863195.

It can be divided in two parts, 3776 and 398080, that added together give a triangular number (401856 = T₈₉₆).

The spelling of 3776398080 in words is "three billion, seven hundred seventy-six million, three hundred ninety-eight thousand, eighty".