3209961493440 has 3136 divisors, whose sum is σ = 14355944668800. Its totient is φ = 674211299328.

The previous prime is 3209961493429. The next prime is 3209961493447. The reversal of 3209961493440 is 443941699023.

3209961493440 is a `hidden beast` number, since 3 + 2 + 0 + 99 + 61 + 493 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3209961493447) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 28406738824 + ... + 28406738936.

Almost surely, 2^{3209961493440} is an apocalyptic number.

3209961493440 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 3209961493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7177972334400).

3209961493440 is an abundant number, since it is smaller than the sum of its proper divisors (11145983175360).

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

3209961493440 is a wasteful number, since it uses less digits than its factorization.

3209961493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 3209961493440 in words is "three trillion, two hundred nine billion, nine hundred sixty-one million, four hundred ninety-three thousand, four hundred forty".