3402678585600 has 2160 divisors, whose sum is σ = 15280112010240. Its totient is φ = 730272153600.

The previous prime is 3402678585539. The next prime is 3402678585613. The reversal of 3402678585600 is 65858762043.

3402678585600 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 6 + 78 + 5 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4924281255 + ... + 4924281945.

Almost surely, 2^{3402678585600} is an apocalyptic number.

3402678585600 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 3402678585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640056005120).

3402678585600 is an abundant number, since it is smaller than the sum of its proper divisors (11877433424640).

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

3402678585600 is a wasteful number, since it uses less digits than its factorization.

3402678585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 3402678585600 in words is "three trillion, four hundred two billion, six hundred seventy-eight million, five hundred eighty-five thousand, six hundred".