3426132304560 has 800 divisors, whose sum is σ = 12616297005312. Its totient is φ = 768997877760.

The previous prime is 3426132304523. The next prime is 3426132304597. The reversal of 3426132304560 is 654032316243.

It is an interprime number because it is at equal distance from previous prime (3426132304523) and next prime (3426132304597).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11160039927 + ... + 11160040233.

Almost surely, 2^{3426132304560} is an apocalyptic number.

3426132304560 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 3426132304560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6308148502656).

3426132304560 is an abundant number, since it is smaller than the sum of its proper divisors (9190164700752).

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

3426132304560 is a wasteful number, since it uses less digits than its factorization.

3426132304560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

The spelling of 3426132304560 in words is "three trillion, four hundred twenty-six billion, one hundred thirty-two million, three hundred four thousand, five hundred sixty".