3202049891040 has 3456 divisors, whose sum is σ = 14974206621696. Its totient is φ = 568273305600.

The previous prime is 3202049891021. The next prime is 3202049891041. The reversal of 3202049891040 is 401989402023.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3202049890983 and 3202049891001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3202049891041) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 45099294205 + ... + 45099294275.

It is an arithmetic number, because the mean of its divisors is an integer number (4332814416).

Almost surely, 2^{3202049891040} is an apocalyptic number.

3202049891040 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 3202049891040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7487103310848).

3202049891040 is an abundant number, since it is smaller than the sum of its proper divisors (11772156730656).

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

3202049891040 is a wasteful number, since it uses less digits than its factorization.

3202049891040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 3202049891040 in words is "three trillion, two hundred two billion, forty-nine million, eight hundred ninety-one thousand, forty".