3466107136 has 72 divisors (see below), whose sum is σ = 7050267000. Its totient is φ = 1700413440.

The previous prime is 3466107121. The next prime is 3466107137. The reversal of 3466107136 is 6317016643.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8667136 + 3457440000 = 2944^2 + 58800^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3466107095 and 3466107104.

It is not an unprimeable number, because it can be changed into a prime (3466107137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3394306 + ... + 3395326.

It is an arithmetic number, because the mean of its divisors is an integer number (97920375).

Almost surely, 2^3466107136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3466107136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525133500).

3466107136 is an abundant number, since it is smaller than the sum of its proper divisors (3584159864).

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

3466107136 is a wasteful number, since it uses less digits than its factorization.

3466107136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 3466107136 is about 58873.6540058454. The cubic root of 3466107136 is about 1513.3776903988.

The spelling of 3466107136 in words is "three billion, four hundred sixty-six million, one hundred seven thousand, one hundred thirty-six".