3529420646400 has 3456 divisors, whose sum is σ = 15929554193280. Its totient is φ = 764411904000.

The previous prime is 3529420646347. The next prime is 3529420646413. The reversal of 3529420646400 is 46460249253.

3529420646400 is a `hidden beast` number, since 3 + 529 + 4 + 2 + 0 + 64 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

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 287 ways as a sum of consecutive naturals, for example, 86083430380 + ... + 86083430420.

It is an arithmetic number, because the mean of its divisors is an integer number (4609246005).

Almost surely, 2^{3529420646400} is an apocalyptic number.

3529420646400 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 3529420646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7964777096640).

3529420646400 is an abundant number, since it is smaller than the sum of its proper divisors (12400133546880).

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

3529420646400 is a wasteful number, since it uses less digits than its factorization.

3529420646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 3529420646400 in words is "three trillion, five hundred twenty-nine billion, four hundred twenty million, six hundred forty-six thousand, four hundred".