3354364269760 has 448 divisors, whose sum is σ = 10012394707200. Its totient is φ = 1043686490112.

The previous prime is 3354364269719. The next prime is 3354364269791. The reversal of 3354364269760 is 679624634533.

It is a happy number.

3354364269760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3354364269760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 3354364269695 and 3354364269704.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1078919086 + ... + 1078922194.

Almost surely, 2^{3354364269760} 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 3354364269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006197353600).

3354364269760 is an abundant number, since it is smaller than the sum of its proper divisors (6658030437440).

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

3354364269760 is a wasteful number, since it uses less digits than its factorization.

3354364269760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 58.

The spelling of 3354364269760 in words is "three trillion, three hundred fifty-four billion, three hundred sixty-four million, two hundred sixty-nine thousand, seven hundred sixty".