3146973990 has 128 divisors (see below), whose sum is σ = 8247398400. Its totient is φ = 765573120.

The previous prime is 3146973979. The next prime is 3146973997. The reversal of 3146973990 is 993796413.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3146973997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5530426 + ... + 5530994.

It is an arithmetic number, because the mean of its divisors is an integer number (64432800).

Almost surely, 2^3146973990 is an apocalyptic number.

3146973990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3146973990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123699200).

3146973990 is an abundant number, since it is smaller than the sum of its proper divisors (5100424410).

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

3146973990 is a wasteful number, since it uses less digits than its factorization.

3146973990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942.

The product of its (nonzero) digits is 1102248, while the sum is 51.

The square root of 3146973990 is about 56097.8964846277. The cubic root of 3146973990 is about 1465.4276595896.

The spelling of 3146973990 in words is "three billion, one hundred forty-six million, nine hundred seventy-three thousand, nine hundred ninety".