3529923840 has 144 divisors (see below), whose sum is σ = 12526449600. Its totient is φ = 941303808.

The previous prime is 3529923821. The next prime is 3529923851. The reversal of 3529923840 is 483299253.

It is a happy number.

3529923840 is a `hidden beast` number, since 3 + 529 + 92 + 38 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16510 + ... + 85629.

Almost surely, 2^3529923840 is an apocalyptic number.

3529923840 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 3529923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6263224800).

3529923840 is an abundant number, since it is smaller than the sum of its proper divisors (8996525760).

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

3529923840 is a wasteful number, since it uses less digits than its factorization.

3529923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102169 (or 102149 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3529923840 is about 59413.1621780898. The cubic root of 3529923840 is about 1522.6091843365.

It can be divided in two parts, 3529 and 923840, that added together give a square (927369 = 963²).

The spelling of 3529923840 in words is "three billion, five hundred twenty-nine million, nine hundred twenty-three thousand, eight hundred forty".