3376776480 has 384 divisors, whose sum is σ = 13355145216. Its totient is φ = 696729600.

The previous prime is 3376776479. The next prime is 3376776497. The reversal of 3376776480 is 846776733.

It is a super-2 number, since 2×3376776480² = 22805238791762380800, 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, 7798344 + ... + 7798776.

It is an arithmetic number, because the mean of its divisors is an integer number (34779024).

Almost surely, 2^3376776480 is an apocalyptic number.

3376776480 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 3376776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6677572608).

3376776480 is an abundant number, since it is smaller than the sum of its proper divisors (9978368736).

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

3376776480 is a wasteful number, since it uses less digits than its factorization.

3376776480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 51.

The square root of 3376776480 is about 58110.0376871328. The cubic root of 3376776480 is about 1500.2631360591.

The spelling of 3376776480 in words is "three billion, three hundred seventy-six million, seven hundred seventy-six thousand, four hundred eighty".