3149649267840 has 96 divisors (see below), whose sum is σ = 10876132647900. Its totient is φ = 839906469888.

The previous prime is 3149649267811. The next prime is 3149649267901. The reversal of 3149649267840 is 487629469413.

It is a happy number.

3149649267840 is a `hidden beast` number, since 3 + 1 + 4 + 9 + 6 + 492 + 67 + 84 + 0 = 666.

3149649267840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2959253181504 + 190396086336 = 1720248^2 + 436344^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273401295 + ... + 273412814.

Almost surely, 2^{3149649267840} is an apocalyptic number.

3149649267840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3149649267840 is an abundant number, since it is smaller than the sum of its proper divisors (7726483380060).

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

3149649267840 is a wasteful number, since it uses less digits than its factorization.

3149649267840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546814134 (or 546814119 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 3149649267840 in words is "three trillion, one hundred forty-nine billion, six hundred forty-nine million, two hundred sixty-seven thousand, eight hundred forty".