3466996162560 has 2016 divisors, whose sum is σ = 15168057690240. Its totient is φ = 743008370688.

The previous prime is 3466996162423. The next prime is 3466996162571. The reversal of 3466996162560 is 652616996643.

It is a happy number.

3466996162560 is a `hidden beast` number, since 3 + 4 + 6 + 6 + 9 + 9 + 6 + 1 + 62 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35742228432 + ... + 35742228528.

It is an arithmetic number, because the mean of its divisors is an integer number (7523838140).

Almost surely, 2^{3466996162560} is an apocalyptic number.

3466996162560 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 3466996162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584028845120).

3466996162560 is an abundant number, since it is smaller than the sum of its proper divisors (11701061527680).

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

3466996162560 is an frugal number, since it uses more digits than its factorization.

3466996162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 3466996162560 in words is "three trillion, four hundred sixty-six billion, nine hundred ninety-six million, one hundred sixty-two thousand, five hundred sixty".