3640911387312 has 90 divisors (see below), whose sum is σ = 9742231566028. Its totient is φ = 1171664187904.

The previous prime is 3640911387293. The next prime is 3640911387409. The reversal of 3640911387312 is 2137831190463.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 383370148 + ... + 383379644.

Almost surely, 2^{3640911387312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640911387312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871115783014).

3640911387312 is an abundant number, since it is smaller than the sum of its proper divisors (6101320178716).

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

3640911387312 is an frugal number, since it uses more digits than its factorization.

3640911387312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19063 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

Multiplying 3640911387312 by its sum of digits (48), we get a square (174763746590976 = 13219824²).

3640911387312 divided by its sum of digits (48) gives a square (75852320569 = 275413²).

The spelling of 3640911387312 in words is "three trillion, six hundred forty billion, nine hundred eleven million, three hundred eighty-seven thousand, three hundred twelve".