3446777880 has 512 divisors, whose sum is σ = 14979686400. Its totient is φ = 684122112.

The previous prime is 3446777879. The next prime is 3446777881. The reversal of 3446777880 is 887776443.

3446777880 is a `hidden beast` number, since 34 + 467 + 7 + 78 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3446777879) and next prime (3446777881).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3446777881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1669729 + ... + 1671791.

It is an arithmetic number, because the mean of its divisors is an integer number (29257200).

Almost surely, 2^3446777880 is an apocalyptic number.

3446777880 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 3446777880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7489843200).

3446777880 is an abundant number, since it is smaller than the sum of its proper divisors (11532908520).

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

3446777880 is a wasteful number, since it uses less digits than its factorization.

3446777880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The square root of 3446777880 is about 58709.2657082338. The cubic root of 3446777880 is about 1510.5592536879.

The spelling of 3446777880 in words is "three billion, four hundred forty-six million, seven hundred seventy-seven thousand, eight hundred eighty".