1531946340 has 144 divisors (see below), whose sum is σ = 4720584960. Its totient is φ = 402105600.

The previous prime is 1531946329. The next prime is 1531946393. The reversal of 1531946340 is 436491351.

1531946340 is a `hidden beast` number, since 1 + 5 + 3 + 19 + 4 + 634 + 0 = 666.

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 = 1531946295 and 1531946304.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4267081 + ... + 4267439.

It is an arithmetic number, because the mean of its divisors is an integer number (32781840).

Almost surely, 2^1531946340 is an apocalyptic number.

1531946340 is a gapful number since it is divisible by the number (10) 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 1531946340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360292480).

1531946340 is an abundant number, since it is smaller than the sum of its proper divisors (3188638620).

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

1531946340 is a wasteful number, since it uses less digits than its factorization.

1531946340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1531946340 is about 39140.0861010806. The cubic root of 1531946340 is about 1152.7837638815.

The spelling of 1531946340 in words is "one billion, five hundred thirty-one million, nine hundred forty-six thousand, three hundred forty".