3412273631760 has 2240 divisors, whose sum is σ = 15438417592320. Its totient is φ = 682864680960.

The previous prime is 3412273631719. The next prime is 3412273631761. The reversal of 3412273631760 is 671363722143.

3412273631760 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 2 + 7 + 3 + 631 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×3412273631760² (a number of 26 digits) contains 22 as substring.

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 (3412273631761) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 5530426972 + ... + 5530427588.

Almost surely, 2^{3412273631760} is an apocalyptic number.

3412273631760 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 3412273631760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7719208796160).

3412273631760 is an abundant number, since it is smaller than the sum of its proper divisors (12026143960560).

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

3412273631760 is a wasteful number, since it uses less digits than its factorization.

3412273631760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 3412273631760 in words is "three trillion, four hundred twelve billion, two hundred seventy-three million, six hundred thirty-one thousand, seven hundred sixty".