3426631680 has 240 divisors, whose sum is σ = 11173284864. Its totient is φ = 896532480.

The previous prime is 3426631651. The next prime is 3426631693. The reversal of 3426631680 is 861366243.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17940385 + ... + 17940575.

Almost surely, 2^3426631680 is an apocalyptic number.

3426631680 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 3426631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586642432).

3426631680 is an abundant number, since it is smaller than the sum of its proper divisors (7746653184).

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

3426631680 is an equidigital number, since it uses as much as digits as its factorization.

3426631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 3426631680 is about 58537.4382767131. The cubic root of 3426631680 is about 1507.6104597437.

The spelling of 3426631680 in words is "three billion, four hundred twenty-six million, six hundred thirty-one thousand, six hundred eighty".