3379367036448 has 144 divisors (see below), whose sum is σ = 10354294431936. Its totient is φ = 1039304609280.

The previous prime is 3379367036431. The next prime is 3379367036489. The reversal of 3379367036448 is 8446307639733.

It is a happy number.

3379367036448 is a `hidden beast` number, since 3 + 3 + 7 + 93 + 6 + 70 + 36 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3379367036448² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7597483 + ... + 8029973.

It is an arithmetic number, because the mean of its divisors is an integer number (71904822444).

Almost surely, 2^{3379367036448} 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 3379367036448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5177147215968).

3379367036448 is an abundant number, since it is smaller than the sum of its proper divisors (6974927395488).

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

3379367036448 is a wasteful number, since it uses less digits than its factorization.

3379367036448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434607 (or 434596 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 63.

The spelling of 3379367036448 in words is "three trillion, three hundred seventy-nine billion, three hundred sixty-seven million, thirty-six thousand, four hundred forty-eight".