3166667375400 has 288 divisors, whose sum is σ = 10816140535200. Its totient is φ = 830160115200.

The previous prime is 3166667375371. The next prime is 3166667375429. The reversal of 3166667375400 is 45737666613.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3166667375371) and next prime (3166667375429).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25167846 + ... + 25293354.

It is an arithmetic number, because the mean of its divisors is an integer number (37556043525).

Almost surely, 2^{3166667375400} is an apocalyptic number.

3166667375400 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 3166667375400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408070267600).

3166667375400 is an abundant number, since it is smaller than the sum of its proper divisors (7649473159800).

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

3166667375400 is a wasteful number, since it uses less digits than its factorization.

3166667375400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125769 (or 125757 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

It can be divided in two parts, 316 and 6667375400, that added together give a square (6667375716 = 81654²).

The spelling of 3166667375400 in words is "three trillion, one hundred sixty-six billion, six hundred sixty-seven million, three hundred seventy-five thousand, four hundred".