3149513640 has 384 divisors, whose sum is σ = 12714024960. Its totient is φ = 658409472.

The previous prime is 3149513639. The next prime is 3149513681. The reversal of 3149513640 is 463159413.

3149513640 is a `hidden beast` number, since 3 + 1 + 4 + 9 + 5 + 1 + 3 + 640 = 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 = 3149513595 and 3149513604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4160142 + ... + 4160898.

It is an arithmetic number, because the mean of its divisors is an integer number (33109440).

Almost surely, 2^3149513640 is an apocalyptic number.

3149513640 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 3149513640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357012480).

3149513640 is an abundant number, since it is smaller than the sum of its proper divisors (9564511320).

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

3149513640 is a wasteful number, since it uses less digits than its factorization.

3149513640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 914 counting only the distinct ones).

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

The square root of 3149513640 is about 56120.5277950947. The cubic root of 3149513640 is about 1465.8217601520.

The spelling of 3149513640 in words is "three billion, one hundred forty-nine million, five hundred thirteen thousand, six hundred forty".