3432326940 has 192 divisors, whose sum is σ = 12230400000. Its totient is φ = 782825472.

The previous prime is 3432326881. The next prime is 3432326981. The reversal of 3432326940 is 496232343.

3432326940 is a `hidden beast` number, since 34 + 323 + 269 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3432326895 and 3432326904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2747436 + ... + 2748684.

It is an arithmetic number, because the mean of its divisors is an integer number (63700000).

Almost surely, 2^3432326940 is an apocalyptic number.

3432326940 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 3432326940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115200000).

3432326940 is an abundant number, since it is smaller than the sum of its proper divisors (8798073060).

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

3432326940 is a wasteful number, since it uses less digits than its factorization.

3432326940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3432326940 is about 58586.0643839471. The cubic root of 3432326940 is about 1508.4452426829.

The spelling of 3432326940 in words is "three billion, four hundred thirty-two million, three hundred twenty-six thousand, nine hundred forty".