3647374812000 has 768 divisors, whose sum is σ = 13738996776960. Its totient is φ = 938905344000.

The previous prime is 3647374811917. The next prime is 3647374812113. The reversal of 3647374812000 is 2184737463.

3647374812000 is a `hidden beast` number, since 36 + 47 + 374 + 8 + 1 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1630474882 + ... + 1630477118.

It is an arithmetic number, because the mean of its divisors is an integer number (17889318720).

Almost surely, 2^{3647374812000} is an apocalyptic number.

3647374812000 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 3647374812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6869498388480).

3647374812000 is an abundant number, since it is smaller than the sum of its proper divisors (10091621964960).

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

3647374812000 is a wasteful number, since it uses less digits than its factorization.

3647374812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 3647374812000 in words is "three trillion, six hundred forty-seven billion, three hundred seventy-four million, eight hundred twelve thousand".