3151724940 has 648 divisors, whose sum is σ = 12791102688. Its totient is φ = 614615040.

The previous prime is 3151724929. The next prime is 3151724941. The reversal of 3151724940 is 494271513.

3151724940 is a `hidden beast` number, since 31 + 517 + 24 + 94 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3151724895 and 3151724904.

It is not an unprimeable number, because it can be changed into a prime (3151724941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 76871320 + ... + 76871360.

It is an arithmetic number, because the mean of its divisors is an integer number (19739356).

Almost surely, 2^3151724940 is an apocalyptic number.

3151724940 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 3151724940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6395551344).

3151724940 is an abundant number, since it is smaller than the sum of its proper divisors (9639377748).

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

3151724940 is a wasteful number, since it uses less digits than its factorization.

3151724940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3151724940 is about 56140.2256853319. The cubic root of 3151724940 is about 1466.1647351556.

It can be divided in two parts, 315 and 1724940, that multiplied together give a square (543356100 = 23310²).

The spelling of 3151724940 in words is "three billion, one hundred fifty-one million, seven hundred twenty-four thousand, nine hundred forty".