3485355374592 has 384 divisors, whose sum is σ = 12707043148800. Its totient is φ = 919213277184.

The previous prime is 3485355374569. The next prime is 3485355374603. The reversal of 3485355374592 is 2954735535843.

3485355374592 is a `hidden beast` number, since 3 + 4 + 8 + 5 + 3 + 5 + 5 + 37 + 4 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4685613 + ... + 5378259.

It is an arithmetic number, because the mean of its divisors is an integer number (33091258200).

Almost surely, 2^{3485355374592} is an apocalyptic number.

3485355374592 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 3485355374592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6353521574400).

3485355374592 is an abundant number, since it is smaller than the sum of its proper divisors (9221687774208).

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

3485355374592 is a wasteful number, since it uses less digits than its factorization.

3485355374592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692698 (or 692672 counting only the distinct ones).

The product of its digits is 272160000, while the sum is 63.

The spelling of 3485355374592 in words is "three trillion, four hundred eighty-five billion, three hundred fifty-five million, three hundred seventy-four thousand, five hundred ninety-two".