3647327940000 has 1440 divisors, whose sum is σ = 14222460155904. Its totient is φ = 917723520000.

The previous prime is 3647327939987. The next prime is 3647327940013. The reversal of 3647327940000 is 497237463.

It is an interprime number because it is at equal distance from previous prime (3647327939987) and next prime (3647327940013).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3647327940000² (a number of 26 digits) contains 22 as substring.

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

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, 6478379719 + ... + 6478380281.

Almost surely, 2^{3647327940000} is an apocalyptic number.

3647327940000 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 3647327940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7111230077952).

3647327940000 is an abundant number, since it is smaller than the sum of its proper divisors (10575132215904).

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

3647327940000 is an equidigital number, since it uses as much as digits as its factorization.

3647327940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 3647327940000 in words is "three trillion, six hundred forty-seven billion, three hundred twenty-seven million, nine hundred forty thousand".