3716412670080 has 384 divisors, whose sum is σ = 14451512624640. Its totient is φ = 871885209600.

The previous prime is 3716412670067. The next prime is 3716412670081. The reversal of 3716412670080 is 800762146173.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (3716412670081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1018104 + ... + 2910216.

It is an arithmetic number, because the mean of its divisors is an integer number (37634147460).

Almost surely, 2^{3716412670080} is an apocalyptic number.

3716412670080 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 3716412670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7225756312320).

3716412670080 is an abundant number, since it is smaller than the sum of its proper divisors (10735099954560).

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

3716412670080 is a wasteful number, since it uses less digits than its factorization.

3716412670080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892180 (or 1892165 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 3716412670080 in words is "three trillion, seven hundred sixteen billion, four hundred twelve million, six hundred seventy thousand, eighty".