3456794880 has 720 divisors, whose sum is σ = 15456760704. Its totient is φ = 716636160.

The previous prime is 3456794879. The next prime is 3456794899. The reversal of 3456794880 is 884976543.

3456794880 is a `hidden beast` number, since 3 + 456 + 79 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 7983144 + ... + 7983576.

Almost surely, 2^3456794880 is an apocalyptic number.

3456794880 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 3456794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728380352).

3456794880 is an abundant number, since it is smaller than the sum of its proper divisors (11999965824).

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

3456794880 is a wasteful number, since it uses less digits than its factorization.

3456794880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3456794880 is about 58794.5140297970. The cubic root of 3456794880 is about 1512.0211637249.

The spelling of 3456794880 in words is "three billion, four hundred fifty-six million, seven hundred ninety-four thousand, eight hundred eighty".