3466492628480 has 240 divisors, whose sum is σ = 9702693831600. Its totient is φ = 1184299941888.

The previous prime is 3466492628461. The next prime is 3466492628497. The reversal of 3466492628480 is 848262946643.

It is a super-2 number, since 2×3466492628480² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35450696 + ... + 35548344.

It is an arithmetic number, because the mean of its divisors is an integer number (40427890965).

Almost surely, 2^{3466492628480} 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 3466492628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851346915800).

3466492628480 is an abundant number, since it is smaller than the sum of its proper divisors (6236201203120).

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

3466492628480 is an equidigital number, since it uses as much as digits as its factorization.

3466492628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97969 (or 97946 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 62.

The spelling of 3466492628480 in words is "three trillion, four hundred sixty-six billion, four hundred ninety-two million, six hundred twenty-eight thousand, four hundred eighty".