3174007680 has 224 divisors, whose sum is σ = 11378261160. Its totient is φ = 846277632.

The previous prime is 3174007663. The next prime is 3174007687. The reversal of 3174007680 is 867004713.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3174007687) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 463159 + ... + 469961.

Almost surely, 2^3174007680 is an apocalyptic number.

3174007680 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 3174007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689130580).

3174007680 is an abundant number, since it is smaller than the sum of its proper divisors (8204253480).

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

3174007680 is an frugal number, since it uses more digits than its factorization.

3174007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6840 (or 6813 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3174007680 is about 56338.3322436864. The cubic root of 3174007680 is about 1469.6118925435.

The spelling of 3174007680 in words is "three billion, one hundred seventy-four million, seven thousand, six hundred eighty".