3229122704640 has 1296 divisors, whose sum is σ = 12790581918912. Its totient is φ = 692134281216.

The previous prime is 3229122704629. The next prime is 3229122704651. The reversal of 3229122704640 is 464072219223.

It is an interprime number because it is at equal distance from previous prime (3229122704629) and next prime (3229122704651).

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 = 3229122704592 and 3229122704601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9305828947 + ... + 9305829293.

It is an arithmetic number, because the mean of its divisors is an integer number (9869276172).

Almost surely, 2^{3229122704640} is an apocalyptic number.

3229122704640 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 3229122704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6395290959456).

3229122704640 is an abundant number, since it is smaller than the sum of its proper divisors (9561459214272).

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

3229122704640 is a wasteful number, since it uses less digits than its factorization.

3229122704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 3229122704640 in words is "three trillion, two hundred twenty-nine billion, one hundred twenty-two million, seven hundred four thousand, six hundred forty".