3452608409040 has 320 divisors, whose sum is σ = 13600790208000. Its totient is φ = 788611977216.

The previous prime is 3452608409039. The next prime is 3452608409059. The reversal of 3452608409040 is 409048062543.

3452608409040 is a `hidden beast` number, since 3 + 4 + 526 + 0 + 84 + 0 + 9 + 0 + 40 = 666.

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 63 ways as a sum of consecutive naturals, for example, 21587286 + ... + 21746634.

It is an arithmetic number, because the mean of its divisors is an integer number (42502469400).

Almost surely, 2^{3452608409040} is an apocalyptic number.

3452608409040 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 3452608409040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6800395104000).

3452608409040 is an abundant number, since it is smaller than the sum of its proper divisors (10148181798960).

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

3452608409040 is a wasteful number, since it uses less digits than its factorization.

3452608409040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160811 (or 160799 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3452608409040 in words is "three trillion, four hundred fifty-two billion, six hundred eight million, four hundred nine thousand, forty".