3389370969600 has 2880 divisors, whose sum is σ = 16242738969600. Its totient is φ = 653996851200.

The previous prime is 3389370969599. The next prime is 3389370969641. The reversal of 3389370969600 is 69690739833.

3389370969600 is a `hidden beast` number, since 338 + 93 + 70 + 96 + 9 + 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 2×3389370969600² (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 287 ways as a sum of consecutive naturals, for example, 7548710176 + ... + 7548710624.

It is an arithmetic number, because the mean of its divisors is an integer number (5639839920).

Almost surely, 2^{3389370969600} is an apocalyptic number.

3389370969600 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 3389370969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8121369484800).

3389370969600 is an abundant number, since it is smaller than the sum of its proper divisors (12853368000000).

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

3389370969600 is a wasteful number, since it uses less digits than its factorization.

3389370969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 3389370969600 in words is "three trillion, three hundred eighty-nine billion, three hundred seventy million, nine hundred sixty-nine thousand, six hundred".