3377348008320 has 512 divisors, whose sum is σ = 12657570831360. Its totient is φ = 755159040000.

The previous prime is 3377348008303. The next prime is 3377348008483. The reversal of 3377348008320 is 238008437733.

It is a super-2 number, since 2×3377348008320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3377348008320.

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, 397284070 + ... + 397292570.

It is an arithmetic number, because the mean of its divisors is an integer number (24721818030).

Almost surely, 2^{3377348008320} is an apocalyptic number.

3377348008320 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 3377348008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6328785415680).

3377348008320 is an abundant number, since it is smaller than the sum of its proper divisors (9280222823040).

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

3377348008320 is a wasteful number, since it uses less digits than its factorization.

3377348008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9994 (or 9982 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 3377348008320 in words is "three trillion, three hundred seventy-seven billion, three hundred forty-eight million, eight thousand, three hundred twenty".