3453291565920 has 1728 divisors, whose sum is σ = 14856633792000. Its totient is φ = 728070819840.

The previous prime is 3453291565897. The next prime is 3453291565951. The reversal of 3453291565920 is 295651923543.

3453291565920 is a `hidden beast` number, since 3 + 4 + 5 + 32 + 9 + 15 + 6 + 592 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26361004255 + ... + 26361004385.

It is an arithmetic number, because the mean of its divisors is an integer number (8597589000).

Almost surely, 2^{3453291565920} is an apocalyptic number.

3453291565920 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 3453291565920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7428316896000).

3453291565920 is an abundant number, since it is smaller than the sum of its proper divisors (11403342226080).

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

3453291565920 is a wasteful number, since it uses less digits than its factorization.

3453291565920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 3453291565920 in words is "three trillion, four hundred fifty-three billion, two hundred ninety-one million, five hundred sixty-five thousand, nine hundred twenty".