3249921991680 has 2112 divisors, whose sum is σ = 14942407753728. Its totient is φ = 634143375360.

The previous prime is 3249921991627. The next prime is 3249921991697. The reversal of 3249921991680 is 861991299423.

3249921991680 is a `hidden beast` number, since 32 + 499 + 21 + 9 + 9 + 16 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 2989808097 + ... + 2989809183.

Almost surely, 2^{3249921991680} is an apocalyptic number.

3249921991680 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 3249921991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7471203876864).

3249921991680 is an abundant number, since it is smaller than the sum of its proper divisors (11692485762048).

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

3249921991680 is a wasteful number, since it uses less digits than its factorization.

3249921991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 3249921991680 in words is "three trillion, two hundred forty-nine billion, nine hundred twenty-one million, nine hundred ninety-one thousand, six hundred eighty".