3149383680 has 240 divisors, whose sum is σ = 11291340060. Its totient is φ = 839614464.

The previous prime is 3149383667. The next prime is 3149383693. The reversal of 3149383680 is 863839413.

3149383680 is a `hidden beast` number, since 3 + 1 + 493 + 83 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3149383667) and next prime (3149383693).

It can be written as a sum of positive squares in 2 ways, for example, as 2657608704 + 491774976 = 51552^2 + 22176^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 827542 + ... + 831338.

Almost surely, 2^3149383680 is an apocalyptic number.

3149383680 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 3149383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645670030).

3149383680 is an abundant number, since it is smaller than the sum of its proper divisors (8141956380).

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

3149383680 is an equidigital number, since it uses as much as digits as its factorization.

3149383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3149383680 is about 56119.3699180595. The cubic root of 3149383680 is about 1465.8015982225.

The spelling of 3149383680 in words is "three billion, one hundred forty-nine million, three hundred eighty-three thousand, six hundred eighty".