3462878345472 has 1440 divisors, whose sum is σ = 13455027091968. Its totient is φ = 860823355392.

The previous prime is 3462878345419. The next prime is 3462878345503. The reversal of 3462878345472 is 2745438782643.

3462878345472 is a `hidden beast` number, since 3 + 4 + 6 + 2 + 8 + 7 + 83 + 4 + 547 + 2 = 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 159 ways as a sum of consecutive naturals, for example, 3168232158 + ... + 3168233250.

Almost surely, 2^{3462878345472} is an apocalyptic number.

3462878345472 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 3462878345472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6727513545984).

3462878345472 is an abundant number, since it is smaller than the sum of its proper divisors (9992148746496).

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

3462878345472 is a wasteful number, since it uses less digits than its factorization.

3462878345472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1214 counting only the distinct ones).

The product of its digits is 216760320, while the sum is 63.

The spelling of 3462878345472 in words is "three trillion, four hundred sixty-two billion, eight hundred seventy-eight million, three hundred forty-five thousand, four hundred seventy-two".