3351264554880 has 2688 divisors, whose sum is σ = 14412464136000. Its totient is φ = 741877678080.

The previous prime is 3351264554879. The next prime is 3351264554893. The reversal of 3351264554880 is 884554621533.

3351264554880 is a `hidden beast` number, since 3 + 3 + 5 + 1 + 2 + 6 + 4 + 554 + 8 + 80 = 666.

3351264554880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3351264554880² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 37654657876 + ... + 37654657964.

Almost surely, 2^{3351264554880} is an apocalyptic number.

3351264554880 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 3351264554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7206232068000).

3351264554880 is an abundant number, since it is smaller than the sum of its proper divisors (11061199581120).

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

3351264554880 is a wasteful number, since it uses less digits than its factorization.

3351264554880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 3351264554880 in words is "three trillion, three hundred fifty-one billion, two hundred sixty-four million, five hundred fifty-four thousand, eight hundred eighty".