3396634589040 has 640 divisors, whose sum is σ = 13275538882560. Its totient is φ = 703700997120.

The previous prime is 3396634588987. The next prime is 3396634589087. The reversal of 3396634589040 is 409854366933.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 820639291 + ... + 820643429.

It is an arithmetic number, because the mean of its divisors is an integer number (20743029504).

Almost surely, 2^{3396634589040} is an apocalyptic number.

3396634589040 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 3396634589040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6637769441280).

3396634589040 is an abundant number, since it is smaller than the sum of its proper divisors (9878904293520).

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

3396634589040 is a wasteful number, since it uses less digits than its factorization.

3396634589040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4562 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 60.

The spelling of 3396634589040 in words is "three trillion, three hundred ninety-six billion, six hundred thirty-four million, five hundred eighty-nine thousand, forty".