3217139600640 has 1152 divisors, whose sum is σ = 12669879140352. Its totient is φ = 679052574720.

The previous prime is 3217139600629. The next prime is 3217139600659. The reversal of 3217139600640 is 460069317123.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3217139600592 and 3217139600601.

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, 10278401124 + ... + 10278401436.

It is an arithmetic number, because the mean of its divisors is an integer number (10998158976).

Almost surely, 2^{3217139600640} is an apocalyptic number.

3217139600640 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 3217139600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6334939570176).

3217139600640 is an abundant number, since it is smaller than the sum of its proper divisors (9452739539712).

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

3217139600640 is a wasteful number, since it uses less digits than its factorization.

3217139600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 3217139600640 in words is "three trillion, two hundred seventeen billion, one hundred thirty-nine million, six hundred thousand, six hundred forty".