3149929376640 has 192 divisors, whose sum is σ = 10901885623200. Its totient is φ = 838067097600.

The previous prime is 3149929376639. The next prime is 3149929376687. The reversal of 3149929376640 is 466739299413.

3149929376640 is a `hidden beast` number, since 31 + 499 + 2 + 9 + 3 + 76 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1905790 + ... + 3151490.

Almost surely, 2^{3149929376640} is an apocalyptic number.

3149929376640 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 3149929376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450942811600).

3149929376640 is an abundant number, since it is smaller than the sum of its proper divisors (7751956246560).

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

3149929376640 is a wasteful number, since it uses less digits than its factorization.

3149929376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246165 (or 1246150 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 3149929376640 in words is "three trillion, one hundred forty-nine billion, nine hundred twenty-nine million, three hundred seventy-six thousand, six hundred forty".