3426433632 has 144 divisors (see below), whose sum is σ = 10019449440. Its totient is φ = 1110067200.

The previous prime is 3426433601. The next prime is 3426433643. The reversal of 3426433632 is 2363346243.

3426433632 is a `hidden beast` number, since 3 + 4 + 2 + 643 + 3 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3426433632² = 23480894869001422848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5183382 + ... + 5184042.

It is an arithmetic number, because the mean of its divisors is an integer number (69579510).

Almost surely, 2^3426433632 is an apocalyptic number.

3426433632 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 3426433632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009724720).

3426433632 is an abundant number, since it is smaller than the sum of its proper divisors (6593015808).

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

3426433632 is a wasteful number, since it uses less digits than its factorization.

3426433632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1146 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The square root of 3426433632 is about 58535.7466169178. The cubic root of 3426433632 is about 1507.5814142148.

Adding to 3426433632 its reverse (2363346243), we get a palindrome (5789779875).

It can be divided in two parts, 34264 and 33632, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 3426433632 in words is "three billion, four hundred twenty-six million, four hundred thirty-three thousand, six hundred thirty-two".