3219256535040 has 2016 divisors, whose sum is σ = 14529742030440. Its totient is φ = 678224461824.

The previous prime is 3219256535003. The next prime is 3219256535059. The reversal of 3219256535040 is 405356529123.

3219256535040 is a `hidden beast` number, since 3 + 2 + 1 + 9 + 256 + 5 + 350 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2929519789056 + 289736745984 = 1711584^2 + 538272^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×3219256535040² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4755179182 + ... + 4755179858.

Almost surely, 2^{3219256535040} is an apocalyptic number.

3219256535040 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 3219256535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7264871015220).

3219256535040 is an abundant number, since it is smaller than the sum of its proper divisors (11310485495400).

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

3219256535040 is an equidigital number, since it uses as much as digits as its factorization.

3219256535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 3219256535040 in words is "three trillion, two hundred nineteen billion, two hundred fifty-six million, five hundred thirty-five thousand, forty".