3145673629620 has 144 divisors (see below), whose sum is σ = 10062448818240. Its totient is φ = 793243196928.

The previous prime is 3145673629531. The next prime is 3145673629633. The reversal of 3145673629620 is 269263765413.

3145673629620 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 6 + 7 + 3 + 6 + 2 + 9 + 620 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1029984 + ... + 2711496.

Almost surely, 2^{3145673629620} is an apocalyptic number.

3145673629620 is a gapful number since it is divisible by the number (30) 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 3145673629620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031224409120).

3145673629620 is an abundant number, since it is smaller than the sum of its proper divisors (6916775188620).

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

3145673629620 is a wasteful number, since it uses less digits than its factorization.

3145673629620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682094 (or 1682089 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 3145673629620 in words is "three trillion, one hundred forty-five billion, six hundred seventy-three million, six hundred twenty-nine thousand, six hundred twenty".