3478336634880 has 816 divisors, whose sum is σ = 12531276785664. Its totient is φ = 891813888000.

The previous prime is 3478336634879. The next prime is 3478336634909. The reversal of 3478336634880 is 884366338743.

3478336634880 is a `hidden beast` number, since 3 + 47 + 83 + 36 + 6 + 3 + 488 + 0 = 666.

It is a super-2 number, since 2×3478336634880² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13857914755 + ... + 13857915005.

Almost surely, 2^{3478336634880} is an apocalyptic number.

3478336634880 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 3478336634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265638392832).

3478336634880 is an abundant number, since it is smaller than the sum of its proper divisors (9052940150784).

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

3478336634880 is a wasteful number, since it uses less digits than its factorization.

3478336634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 3478336634880 in words is "three trillion, four hundred seventy-eight billion, three hundred thirty-six million, six hundred thirty-four thousand, eight hundred eighty".