3379835289600 has 2880 divisors, whose sum is σ = 15992393088000. Its totient is φ = 702303436800.

The previous prime is 3379835289577. The next prime is 3379835289617. The reversal of 3379835289600 is 69825389733.

3379835289600 is a `hidden beast` number, since 3 + 379 + 83 + 52 + 89 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×3379835289600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 307257753595 + ... + 307257753605.

Almost surely, 2^{3379835289600} is an apocalyptic number.

3379835289600 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 3379835289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7996196544000).

3379835289600 is an abundant number, since it is smaller than the sum of its proper divisors (12612557798400).

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

3379835289600 is an frugal number, since it uses more digits than its factorization.

3379835289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 3379835289600 in words is "three trillion, three hundred seventy-nine billion, eight hundred thirty-five million, two hundred eighty-nine thousand, six hundred".