3455287369632 has 432 divisors, whose sum is σ = 11720864387232. Its totient is φ = 962219381760.

The previous prime is 3455287369543. The next prime is 3455287369649. The reversal of 3455287369632 is 2369637825543.

It is a happy number.

3455287369632 is a `hidden beast` number, since 3 + 4 + 5 + 528 + 73 + 6 + 9 + 6 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3455287369632.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 297940858 + ... + 297952454.

It is an arithmetic number, because the mean of its divisors is an integer number (27131630526).

Almost surely, 2^{3455287369632} is an apocalyptic number.

3455287369632 is a gapful number since it is divisible by the number (32) 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 3455287369632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860432193616).

3455287369632 is an abundant number, since it is smaller than the sum of its proper divisors (8265577017600).

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

3455287369632 is a wasteful number, since it uses less digits than its factorization.

3455287369632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12161 (or 12143 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 63.

The spelling of 3455287369632 in words is "three trillion, four hundred fifty-five billion, two hundred eighty-seven million, three hundred sixty-nine thousand, six hundred thirty-two".