3377002848000 has 576 divisors, whose sum is σ = 11824854612480. Its totient is φ = 851853312000.

The previous prime is 3377002847969. The next prime is 3377002848031. The reversal of 3377002848000 is 8482007733.

It is an interprime number because it is at equal distance from previous prime (3377002847969) and next prime (3377002848031).

It is a super-2 number, since 2×3377002848000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 1989983152 + ... + 1989984848.

It is an arithmetic number, because the mean of its divisors is an integer number (20529261480).

Almost surely, 2^{3377002848000} is an apocalyptic number.

3377002848000 is a gapful number since it is divisible by the number (30) 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 3377002848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5912427306240).

3377002848000 is an abundant number, since it is smaller than the sum of its proper divisors (8447851764480).

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

3377002848000 is a wasteful number, since it uses less digits than its factorization.

3377002848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 3377002848000 in words is "three trillion, three hundred seventy-seven billion, two million, eight hundred forty-eight thousand".