3149746575360 has 1536 divisors, whose sum is σ = 12972129730560. Its totient is φ = 633588940800.

The previous prime is 3149746575337. The next prime is 3149746575397. The reversal of 3149746575360 is 635756479413.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3149746575294 and 3149746575303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11976222589 + ... + 11976222851.

It is an arithmetic number, because the mean of its divisors is an integer number (8445396960).

Almost surely, 2^{3149746575360} is an apocalyptic number.

3149746575360 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 3149746575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486064865280).

3149746575360 is an abundant number, since it is smaller than the sum of its proper divisors (9822383155200).

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

3149746575360 is a wasteful number, since it uses less digits than its factorization.

3149746575360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 60.

The spelling of 3149746575360 in words is "three trillion, one hundred forty-nine billion, seven hundred forty-six million, five hundred seventy-five thousand, three hundred sixty".