3482430012672 has 144 divisors (see below), whose sum is σ = 9993017626368. Its totient is φ = 1070258135040.

The previous prime is 3482430012623. The next prime is 3482430012697. The reversal of 3482430012672 is 2762100342843.

It is a super-4 number, since 4×3482430012672⁴ (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8311897 + ... + 8720807.

Almost surely, 2^{3482430012672} is an apocalyptic number.

3482430012672 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 3482430012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996508813184).

3482430012672 is an abundant number, since it is smaller than the sum of its proper divisors (6510587613696).

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

3482430012672 is a wasteful number, since it uses less digits than its factorization.

3482430012672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409796 (or 409782 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 3482430012672 in words is "three trillion, four hundred eighty-two billion, four hundred thirty million, twelve thousand, six hundred seventy-two".