3531392640000 has 1485 divisors, whose sum is σ = 13703334636277. Its totient is φ = 909232128000.

The previous prime is 3531392639917. The next prime is 3531392640023. The reversal of 3531392640000 is 462931353.

It is a happy number.

The square root of 3531392640000 is 1879200.

It is a perfect power (a square), and thus also a powerful number.

3531392640000 is a `hidden beast` number, since 3 + 5 + 3 + 1 + 3 + 9 + 2 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2641223033856 + 890169606144 = 1625184^2 + 943488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 121772159986 + ... + 121772160014.

Almost surely, 2^{3531392640000} is an apocalyptic number.

3531392640000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3531392640000 is the 1879200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3531392640000

3531392640000 is an abundant number, since it is smaller than the sum of its proper divisors (10171941996277).

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

3531392640000 is an frugal number, since it uses more digits than its factorization.

3531392640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Multiplying 3531392640000 by its sum of digits (36), we get a square (127130135040000 = 11275200²).

3531392640000 divided by its sum of digits (36) gives a square (98094240000 = 313200²).

The spelling of 3531392640000 in words is "three trillion, five hundred thirty-one billion, three hundred ninety-two million, six hundred forty thousand".