3242498040 has 320 divisors, whose sum is σ = 11290752000. Its totient is φ = 834147072.

The previous prime is 3242498011. The next prime is 3242498089. The reversal of 3242498040 is 408942423.

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 = 3242497986 and 3242498004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16293861 + ... + 16294059.

It is an arithmetic number, because the mean of its divisors is an integer number (35283600).

Almost surely, 2^3242498040 is an apocalyptic number.

3242498040 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 3242498040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645376000).

3242498040 is an abundant number, since it is smaller than the sum of its proper divisors (8048253960).

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

3242498040 is a wasteful number, since it uses less digits than its factorization.

3242498040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3242498040 is about 56942.9366998226. The cubic root of 3242498040 is about 1480.1074368075.

The spelling of 3242498040 in words is "three billion, two hundred forty-two million, four hundred ninety-eight thousand, forty".