3456778490880 has 1056 divisors, whose sum is σ = 13179178680192. Its totient is φ = 768143523840.

The previous prime is 3456778490861. The next prime is 3456778490917. The reversal of 3456778490880 is 880948776543.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×3456778490880² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4179901027 + ... + 4179901853.

Almost surely, 2^{3456778490880} is an apocalyptic number.

3456778490880 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 3456778490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589589340096).

3456778490880 is an abundant number, since it is smaller than the sum of its proper divisors (9722400189312).

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

3456778490880 is a wasteful number, since it uses less digits than its factorization.

3456778490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 69.

The spelling of 3456778490880 in words is "three trillion, four hundred fifty-six billion, seven hundred seventy-eight million, four hundred ninety thousand, eight hundred eighty".