3426244992 has 192 divisors, whose sum is σ = 10456517760. Its totient is φ = 1074954240.

The previous prime is 3426244951. The next prime is 3426245003. The reversal of 3426244992 is 2994426243.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1320048 + ... + 1322640.

It is an arithmetic number, because the mean of its divisors is an integer number (54461030).

Almost surely, 2^3426244992 is an apocalyptic number.

3426244992 is a gapful number since it is divisible by the number (32) 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 3426244992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228258880).

3426244992 is an abundant number, since it is smaller than the sum of its proper divisors (7030272768).

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

3426244992 is a wasteful number, since it uses less digits than its factorization.

3426244992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2666 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 3426244992 is about 58534.1352716515. The cubic root of 3426244992 is about 1507.5537474133.

The spelling of 3426244992 in words is "three billion, four hundred twenty-six million, two hundred forty-four thousand, nine hundred ninety-two".