3533523840 has 768 divisors, whose sum is σ = 15764336640. Its totient is φ = 707788800.

The previous prime is 3533523823. The next prime is 3533523907. The reversal of 3533523840 is 483253353.

3533523840 is a `hidden beast` number, since 3 + 53 + 3 + 523 + 84 + 0 = 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 = 3533523795 and 3533523804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13748992 + ... + 13749248.

It is an arithmetic number, because the mean of its divisors is an integer number (20526480).

Almost surely, 2^3533523840 is an apocalyptic number.

3533523840 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 3533523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7882168320).

3533523840 is an abundant number, since it is smaller than the sum of its proper divisors (12230812800).

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

3533523840 is a wasteful number, since it uses less digits than its factorization.

3533523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3533523840 is about 59443.4507746648. The cubic root of 3533523840 is about 1523.1266204970.

The spelling of 3533523840 in words is "three billion, five hundred thirty-three million, five hundred twenty-three thousand, eight hundred forty".