3354977426416 has 160 divisors (see below), whose sum is σ = 8130336768000. Its totient is φ = 1302930819840.

The previous prime is 3354977426413. The next prime is 3354977426429. The reversal of 3354977426416 is 6146247794533.

3354977426416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3354977426416² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3354977426413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530595831 + ... + 530602153.

It is an arithmetic number, because the mean of its divisors is an integer number (50814604800).

Almost surely, 2^{3354977426416} 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 3354977426416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065168384000).

3354977426416 is an abundant number, since it is smaller than the sum of its proper divisors (4775359341584).

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

3354977426416 is a wasteful number, since it uses less digits than its factorization.

3354977426416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7667 (or 7661 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 61.

The spelling of 3354977426416 in words is "three trillion, three hundred fifty-four billion, nine hundred seventy-seven million, four hundred twenty-six thousand, four hundred sixteen".