3440779776 has 480 divisors, whose sum is σ = 12352602240. Its totient is φ = 925655040.

The previous prime is 3440779757. The next prime is 3440779789. The reversal of 3440779776 is 6779770443.

It is a super-2 number, since 2×3440779776² = 23677930933861220352, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92994030 + ... + 92994066.

It is an arithmetic number, because the mean of its divisors is an integer number (25734588).

Almost surely, 2^3440779776 is an apocalyptic number.

3440779776 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 3440779776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176301120).

3440779776 is an abundant number, since it is smaller than the sum of its proper divisors (8911822464).

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

3440779776 is an equidigital number, since it uses as much as digits as its factorization.

3440779776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The square root of 3440779776 is about 58658.1603530148. The cubic root of 3440779776 is about 1509.6825167650.

The spelling of 3440779776 in words is "three billion, four hundred forty million, seven hundred seventy-nine thousand, seven hundred seventy-six".