3426990336 has 576 divisors, whose sum is σ = 12997877760. Its totient is φ = 864829440.

The previous prime is 3426990323. The next prime is 3426990337. The reversal of 3426990336 is 6330996243.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 3426990291 and 3426990300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3426990337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25014460 + ... + 25014596.

It is an arithmetic number, because the mean of its divisors is an integer number (22565760).

Almost surely, 2^3426990336 is an apocalyptic number.

3426990336 is a gapful number since it is divisible by the number (36) 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 3426990336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6498938880).

3426990336 is an abundant number, since it is smaller than the sum of its proper divisors (9570887424).

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

3426990336 is a wasteful number, since it uses less digits than its factorization.

3426990336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The square root of 3426990336 is about 58540.5016719194. The cubic root of 3426990336 is about 1507.6630570389.

The spelling of 3426990336 in words is "three billion, four hundred twenty-six million, nine hundred ninety thousand, three hundred thirty-six".