3454778880 has 480 divisors, whose sum is σ = 14135666688. Its totient is φ = 763084800.

The previous prime is 3454778863. The next prime is 3454778893. The reversal of 3454778880 is 888774543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4999335 + ... + 5000025.

Almost surely, 2^3454778880 is an apocalyptic number.

3454778880 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 3454778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7067833344).

3454778880 is an abundant number, since it is smaller than the sum of its proper divisors (10680887808).

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

3454778880 is a wasteful number, since it uses less digits than its factorization.

3454778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The square root of 3454778880 is about 58777.3670727092. The cubic root of 3454778880 is about 1511.7271700555.

The spelling of 3454778880 in words is "three billion, four hundred fifty-four million, seven hundred seventy-eight thousand, eight hundred eighty".