3494373766272 has 384 divisors, whose sum is σ = 10797847398000. Its totient is φ = 1080844615680.

The previous prime is 3494373766267. The next prime is 3494373766283. The reversal of 3494373766272 is 2726673734943.

It is a happy number.

3494373766272 is a `hidden beast` number, since 3 + 4 + 9 + 437 + 3 + 76 + 62 + 72 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1073412035136 + 2420961731136 = 1036056^2 + 1555944^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399763822 + ... + 399772562.

Almost surely, 2^{3494373766272} is an apocalyptic number.

3494373766272 is a gapful number since it is divisible by the number (32) 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 3494373766272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5398923699000).

3494373766272 is an abundant number, since it is smaller than the sum of its proper divisors (7303473631728).

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

3494373766272 is a wasteful number, since it uses less digits than its factorization.

3494373766272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9064 (or 9049 counting only the distinct ones).

The product of its digits is 192036096, while the sum is 63.

The spelling of 3494373766272 in words is "three trillion, four hundred ninety-four billion, three hundred seventy-three million, seven hundred sixty-six thousand, two hundred seventy-two".