3455239532544 has 312 divisors, whose sum is σ = 10114777576800. Its totient is φ = 1136319528960.

The previous prime is 3455239532491. The next prime is 3455239532669. The reversal of 3455239532544 is 4452359325543.

3455239532544 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 2 + 3 + 95 + 3 + 2 + 544 = 666.

It is a super-2 number, since 2×3455239532544² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2070244542 + ... + 2070246210.

It is an arithmetic number, because the mean of its divisors is an integer number (32419158900).

Almost surely, 2^{3455239532544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3455239532544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057388788400).

3455239532544 is an abundant number, since it is smaller than the sum of its proper divisors (6659538044256).

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

3455239532544 is a wasteful number, since it uses less digits than its factorization.

3455239532544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2394 counting only the distinct ones).

The product of its digits is 38880000, while the sum is 54.

The spelling of 3455239532544 in words is "three trillion, four hundred fifty-five billion, two hundred thirty-nine million, five hundred thirty-two thousand, five hundred forty-four".