3427587870336 has 768 divisors, whose sum is σ = 12284064000000. Its totient is φ = 914945310720.

The previous prime is 3427587870323. The next prime is 3427587870341. The reversal of 3427587870336 is 6330787857243.

It is a happy number.

3427587870336 is a `hidden beast` number, since 3 + 42 + 7 + 587 + 8 + 7 + 0 + 3 + 3 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 355222440 + ... + 355232088.

It is an arithmetic number, because the mean of its divisors is an integer number (15994875000).

Almost surely, 2^{3427587870336} is an apocalyptic number.

3427587870336 is a gapful number since it is divisible by the number (36) 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 3427587870336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142032000000).

3427587870336 is an abundant number, since it is smaller than the sum of its proper divisors (8856476129664).

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

3427587870336 is a wasteful number, since it uses less digits than its factorization.

3427587870336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9750 (or 9721 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 3427587870336 in words is "three trillion, four hundred twenty-seven billion, five hundred eighty-seven million, eight hundred seventy thousand, three hundred thirty-six".