3528408723840 has 3072 divisors, whose sum is σ = 16949044869120. Its totient is φ = 652935168000.

The previous prime is 3528408723821. The next prime is 3528408723877. The reversal of 3528408723840 is 483278048253.

3528408723840 is a `hidden beast` number, since 3 + 528 + 4 + 0 + 8 + 72 + 3 + 8 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 34934739790 + ... + 34934739890.

It is an arithmetic number, because the mean of its divisors is an integer number (5517267210).

Almost surely, 2^{3528408723840} is an apocalyptic number.

3528408723840 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 3528408723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8474522434560).

3528408723840 is an abundant number, since it is smaller than the sum of its proper divisors (13420636145280).

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

3528408723840 is a wasteful number, since it uses less digits than its factorization.

3528408723840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 3528408723840 in words is "three trillion, five hundred twenty-eight billion, four hundred eight million, seven hundred twenty-three thousand, eight hundred forty".