3462602846976 has 2304 divisors, whose sum is σ = 13891351040000. Its totient is φ = 853298675712.

The previous prime is 3462602846939. The next prime is 3462602846977. The reversal of 3462602846976 is 6796482062643.

3462602846976 is a `hidden beast` number, since 3 + 4 + 6 + 260 + 284 + 6 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is not an unprimeable number, because it can be changed into a prime (3462602846977) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 47432915676 + ... + 47432915748.

Almost surely, 2^{3462602846976} is an apocalyptic number.

3462602846976 is a gapful number since it is divisible by the number (36) 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 3462602846976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6945675520000).

3462602846976 is an abundant number, since it is smaller than the sum of its proper divisors (10428748193024).

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

3462602846976 is an frugal number, since it uses more digits than its factorization.

3462602846976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 3462602846976 in words is "three trillion, four hundred sixty-two billion, six hundred two million, eight hundred forty-six thousand, nine hundred seventy-six".