3131461620 has 360 divisors, whose sum is σ = 11568420864. Its totient is φ = 706962816.

The previous prime is 3131461609. The next prime is 3131461651. The reversal of 3131461620 is 261641313.

3131461620 is a `hidden beast` number, since 3 + 1 + 31 + 4 + 6 + 1 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8175949 + ... + 8176331.

Almost surely, 2^3131461620 is an apocalyptic number.

3131461620 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 3131461620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784210432).

3131461620 is an abundant number, since it is smaller than the sum of its proper divisors (8436959244).

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

3131461620 is a wasteful number, since it uses less digits than its factorization.

3131461620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3131461620 is about 55959.4640789206. The cubic root of 3131461620 is about 1463.0158495875.

The spelling of 3131461620 in words is "three billion, one hundred thirty-one million, four hundred sixty-one thousand, six hundred twenty".