3452991897600 has 2142 divisors, whose sum is σ = 15188489130060. Its totient is φ = 775878082560.

The previous prime is 3452991897587. The next prime is 3452991897623. The reversal of 3452991897600 is 67981992543.

3452991897600 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 9 + 9 + 18 + 9 + 7 + 600 = 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 polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 58525286371 + ... + 58525286429.

It is a 1-persistent number, because it is pandigital, but 2⋅3452991897600 = 6905983795200 is not.

Almost surely, 2^{3452991897600} is an apocalyptic number.

3452991897600 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 3452991897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7594244565030).

3452991897600 is an abundant number, since it is smaller than the sum of its proper divisors (11735497232460).

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

3452991897600 is an frugal number, since it uses more digits than its factorization.

3452991897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 3452991897600 in words is "three trillion, four hundred fifty-two billion, nine hundred ninety-one million, eight hundred ninety-seven thousand, six hundred".